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Finding the Fourth Proportional to 614,141.40, 921,212.10 and 214,649.40

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Solution

The fourth proportional to 614,141.40, 921,212.10 and 214,649.40 is: 321,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,141.40 : 921,212.10 = 214,649.40 : x
  2. Step 2: Convert to fraction form
    614,141.40/921,212.10 = 214,649.40/x
  3. Step 3: Cross multiply
    614,141.40x = 921,212.10 × 214,649.40
  4. Step 4: Simplify right side
    614,141.40x = 197,737,624,537.74
  5. Step 5: Solve for x
    x = 197,737,624,537.74/614,141.40
  6. Step 6: Final answer
    x = 321,974.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.