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Finding the Fourth Proportional to 420,542.40, 631,404 and 401,498.40

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Solution

The fourth proportional to 420,542.40, 631,404 and 401,498.40 is: 602,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,542.40 : 631,404 = 401,498.40 : x
  2. Step 2: Convert to fraction form
    420,542.40/631,404 = 401,498.40/x
  3. Step 3: Cross multiply
    420,542.40x = 631,404 × 401,498.40
  4. Step 4: Simplify right side
    420,542.40x = 253,507,695,753.60
  5. Step 5: Solve for x
    x = 253,507,695,753.60/420,542.40
  6. Step 6: Final answer
    x = 602,811.26

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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.