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Finding the Fourth Proportional to 364,337.62, 502,792.37 and 203,175.36

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Solution

The fourth proportional to 364,337.62, 502,792.37 and 203,175.36 is: 280,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,337.62 : 502,792.37 = 203,175.36 : x
  2. Step 2: Convert to fraction form
    364,337.62/502,792.37 = 203,175.36/x
  3. Step 3: Cross multiply
    364,337.62x = 502,792.37 × 203,175.36
  4. Step 4: Simplify right side
    364,337.62x = 102,155,020,780.00
  5. Step 5: Solve for x
    x = 102,155,020,780.00/364,337.62
  6. Step 6: Final answer
    x = 280,385.60

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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.