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Finding the Fourth Proportional to 755,584, 1,042,705.92 and 416,051.44

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Solution

The fourth proportional to 755,584, 1,042,705.92 and 416,051.44 is: 574,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,584 : 1,042,705.92 = 416,051.44 : x
  2. Step 2: Convert to fraction form
    755,584/1,042,705.92 = 416,051.44/x
  3. Step 3: Cross multiply
    755,584x = 1,042,705.92 × 416,051.44
  4. Step 4: Simplify right side
    755,584x = 433,819,299,512.53
  5. Step 5: Solve for x
    x = 433,819,299,512.53/755,584
  6. Step 6: Final answer
    x = 574,150.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.