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Finding the Fourth Proportional to 534,898.10, 738,165.21 and 293,175.38

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Solution

The fourth proportional to 534,898.10, 738,165.21 and 293,175.38 is: 404,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,898.10 : 738,165.21 = 293,175.38 : x
  2. Step 2: Convert to fraction form
    534,898.10/738,165.21 = 293,175.38/x
  3. Step 3: Cross multiply
    534,898.10x = 738,165.21 × 293,175.38
  4. Step 4: Simplify right side
    534,898.10x = 216,411,865,944.53
  5. Step 5: Solve for x
    x = 216,411,865,944.53/534,898.10
  6. Step 6: Final answer
    x = 404,585.22

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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.