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Finding the Fourth Proportional to 498,850.80, 748,276.20 and 471,294.60

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Solution

The fourth proportional to 498,850.80, 748,276.20 and 471,294.60 is: 706,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,850.80 : 748,276.20 = 471,294.60 : x
  2. Step 2: Convert to fraction form
    498,850.80/748,276.20 = 471,294.60/x
  3. Step 3: Cross multiply
    498,850.80x = 748,276.20 × 471,294.60
  4. Step 4: Simplify right side
    498,850.80x = 352,658,532,368.52
  5. Step 5: Solve for x
    x = 352,658,532,368.52/498,850.80
  6. Step 6: Final answer
    x = 706,941.90

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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.