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Finding the Fourth Proportional to 364,337.90, 502,792.77 and 203,175.64

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Solution

The fourth proportional to 364,337.90, 502,792.77 and 203,175.64 is: 280,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,337.90 : 502,792.77 = 203,175.64 : x
  2. Step 2: Convert to fraction form
    364,337.90/502,792.77 = 203,175.64/x
  3. Step 3: Cross multiply
    364,337.90x = 502,792.77 × 203,175.64
  4. Step 4: Simplify right side
    364,337.90x = 102,155,241,816.25
  5. Step 5: Solve for x
    x = 102,155,241,816.25/364,337.90
  6. Step 6: Final answer
    x = 280,385.99

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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.