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Finding the Fourth Proportional to 403,793.50, 557,246.56 and 224,957.02

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Solution

The fourth proportional to 403,793.50, 557,246.56 and 224,957.02 is: 310,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,793.50 : 557,246.56 = 224,957.02 : x
  2. Step 2: Convert to fraction form
    403,793.50/557,246.56 = 224,957.02/x
  3. Step 3: Cross multiply
    403,793.50x = 557,246.56 × 224,957.02
  4. Step 4: Simplify right side
    403,793.50x = 125,356,525,542.85
  5. Step 5: Solve for x
    x = 125,356,525,542.85/403,793.50
  6. Step 6: Final answer
    x = 310,447.11

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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.