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Finding the Fourth Proportional to 461,462.40, 692,582.40 and 225,007.20

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Solution

The fourth proportional to 461,462.40, 692,582.40 and 225,007.20 is: 337,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.40 : 692,582.40 = 225,007.20 : x
  2. Step 2: Convert to fraction form
    461,462.40/692,582.40 = 225,007.20/x
  3. Step 3: Cross multiply
    461,462.40x = 692,582.40 × 225,007.20
  4. Step 4: Simplify right side
    461,462.40x = 155,836,026,593.28
  5. Step 5: Solve for x
    x = 155,836,026,593.28/461,462.40
  6. Step 6: Final answer
    x = 337,700.38

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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.