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Finding the Fourth Proportional to 461,724.66, 693,637.83 and 334,034.78

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Solution

The fourth proportional to 461,724.66, 693,637.83 and 334,034.78 is: 501,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,724.66 : 693,637.83 = 334,034.78 : x
  2. Step 2: Convert to fraction form
    461,724.66/693,637.83 = 334,034.78/x
  3. Step 3: Cross multiply
    461,724.66x = 693,637.83 × 334,034.78
  4. Step 4: Simplify right side
    461,724.66x = 231,699,156,475.54
  5. Step 5: Solve for x
    x = 231,699,156,475.54/461,724.66
  6. Step 6: Final answer
    x = 501,812.39

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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.