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Finding the Fourth Proportional to 755,657.56, 1,042,802.22 and 416,123

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Solution

The fourth proportional to 755,657.56, 1,042,802.22 and 416,123 is: 574,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,657.56 : 1,042,802.22 = 416,123 : x
  2. Step 2: Convert to fraction form
    755,657.56/1,042,802.22 = 416,123/x
  3. Step 3: Cross multiply
    755,657.56x = 1,042,802.22 × 416,123
  4. Step 4: Simplify right side
    755,657.56x = 433,933,988,193.06
  5. Step 5: Solve for x
    x = 433,933,988,193.06/755,657.56
  6. Step 6: Final answer
    x = 574,246.87

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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.