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Finding the Fourth Proportional to 749,858.76, 1,034,805.08 and 410,327

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Solution

The fourth proportional to 749,858.76, 1,034,805.08 and 410,327 is: 566,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,858.76 : 1,034,805.08 = 410,327 : x
  2. Step 2: Convert to fraction form
    749,858.76/1,034,805.08 = 410,327/x
  3. Step 3: Cross multiply
    749,858.76x = 1,034,805.08 × 410,327
  4. Step 4: Simplify right side
    749,858.76x = 424,608,464,061.16
  5. Step 5: Solve for x
    x = 424,608,464,061.16/749,858.76
  6. Step 6: Final answer
    x = 566,251.26

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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.