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Finding the Fourth Proportional to 463,429.80, 695,144.70 and 214,111.80

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Solution

The fourth proportional to 463,429.80, 695,144.70 and 214,111.80 is: 321,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,429.80 : 695,144.70 = 214,111.80 : x
  2. Step 2: Convert to fraction form
    463,429.80/695,144.70 = 214,111.80/x
  3. Step 3: Cross multiply
    463,429.80x = 695,144.70 × 214,111.80
  4. Step 4: Simplify right side
    463,429.80x = 148,838,682,977.46
  5. Step 5: Solve for x
    x = 148,838,682,977.46/463,429.80
  6. Step 6: Final answer
    x = 321,167.70

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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.