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Finding the Fourth Proportional to 543,002.19, 746,685.81 and 471,257.66

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Solution

The fourth proportional to 543,002.19, 746,685.81 and 471,257.66 is: 648,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,002.19 : 746,685.81 = 471,257.66 : x
  2. Step 2: Convert to fraction form
    543,002.19/746,685.81 = 471,257.66/x
  3. Step 3: Cross multiply
    543,002.19x = 746,685.81 × 471,257.66
  4. Step 4: Simplify right side
    543,002.19x = 351,881,403,842.38
  5. Step 5: Solve for x
    x = 351,881,403,842.38/543,002.19
  6. Step 6: Final answer
    x = 648,029.44

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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.