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Finding the Fourth Proportional to 456,001.40, 684,002.10 and 219,805.40

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Solution

The fourth proportional to 456,001.40, 684,002.10 and 219,805.40 is: 329,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,001.40 : 684,002.10 = 219,805.40 : x
  2. Step 2: Convert to fraction form
    456,001.40/684,002.10 = 219,805.40/x
  3. Step 3: Cross multiply
    456,001.40x = 684,002.10 × 219,805.40
  4. Step 4: Simplify right side
    456,001.40x = 150,347,355,191.34
  5. Step 5: Solve for x
    x = 150,347,355,191.34/456,001.40
  6. Step 6: Final answer
    x = 329,708.10

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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.