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Finding the Fourth Proportional to 424,221.72, 636,332.58 and 174,897.24

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Solution

The fourth proportional to 424,221.72, 636,332.58 and 174,897.24 is: 262,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,221.72 : 636,332.58 = 174,897.24 : x
  2. Step 2: Convert to fraction form
    424,221.72/636,332.58 = 174,897.24/x
  3. Step 3: Cross multiply
    424,221.72x = 636,332.58 × 174,897.24
  4. Step 4: Simplify right side
    424,221.72x = 111,292,811,964.08
  5. Step 5: Solve for x
    x = 111,292,811,964.08/424,221.72
  6. Step 6: Final answer
    x = 262,345.86

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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.