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Finding the Fourth Proportional to 757,283.75, 1,044,978.96 and 417,730.13

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Solution

The fourth proportional to 757,283.75, 1,044,978.96 and 417,730.13 is: 576,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,283.75 : 1,044,978.96 = 417,730.13 : x
  2. Step 2: Convert to fraction form
    757,283.75/1,044,978.96 = 417,730.13/x
  3. Step 3: Cross multiply
    757,283.75x = 1,044,978.96 × 417,730.13
  4. Step 4: Simplify right side
    757,283.75x = 436,519,189,494.52
  5. Step 5: Solve for x
    x = 436,519,189,494.52/757,283.75
  6. Step 6: Final answer
    x = 576,427.52

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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.