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Finding the Fourth Proportional to 461,644.12, 691,116.42 and 417,372.76

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Solution

The fourth proportional to 461,644.12, 691,116.42 and 417,372.76 is: 624,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,644.12 : 691,116.42 = 417,372.76 : x
  2. Step 2: Convert to fraction form
    461,644.12/691,116.42 = 417,372.76/x
  3. Step 3: Cross multiply
    461,644.12x = 691,116.42 × 417,372.76
  4. Step 4: Simplify right side
    461,644.12x = 288,453,167,696.72
  5. Step 5: Solve for x
    x = 288,453,167,696.72/461,644.12
  6. Step 6: Final answer
    x = 624,838.82

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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.