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Finding the Fourth Proportional to 403,730.50, 557,148.10 and 224,882.50

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Solution

The fourth proportional to 403,730.50, 557,148.10 and 224,882.50 is: 310,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,730.50 : 557,148.10 = 224,882.50 : x
  2. Step 2: Convert to fraction form
    403,730.50/557,148.10 = 224,882.50/x
  3. Step 3: Cross multiply
    403,730.50x = 557,148.10 × 224,882.50
  4. Step 4: Simplify right side
    403,730.50x = 125,292,857,598.25
  5. Step 5: Solve for x
    x = 125,292,857,598.25/403,730.50
  6. Step 6: Final answer
    x = 310,337.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.