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Finding the Fourth Proportional to 497,694.80, 748,097.40 and 488,363.60

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Solution

The fourth proportional to 497,694.80, 748,097.40 and 488,363.60 is: 734,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,694.80 : 748,097.40 = 488,363.60 : x
  2. Step 2: Convert to fraction form
    497,694.80/748,097.40 = 488,363.60/x
  3. Step 3: Cross multiply
    497,694.80x = 748,097.40 × 488,363.60
  4. Step 4: Simplify right side
    497,694.80x = 365,343,539,414.64
  5. Step 5: Solve for x
    x = 365,343,539,414.64/497,694.80
  6. Step 6: Final answer
    x = 734,071.44

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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.