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Finding the Fourth Proportional to 463,465.40, 695,273.42 and 143,542.53

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Solution

The fourth proportional to 463,465.40, 695,273.42 and 143,542.53 is: 215,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,465.40 : 695,273.42 = 143,542.53 : x
  2. Step 2: Convert to fraction form
    463,465.40/695,273.42 = 143,542.53/x
  3. Step 3: Cross multiply
    463,465.40x = 695,273.42 × 143,542.53
  4. Step 4: Simplify right side
    463,465.40x = 99,801,306,107.41
  5. Step 5: Solve for x
    x = 99,801,306,107.41/463,465.40
  6. Step 6: Final answer
    x = 215,337.13

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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.