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Finding the Fourth Proportional to 498,307.60, 747,534.30 and 161,290.90

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Solution

The fourth proportional to 498,307.60, 747,534.30 and 161,290.90 is: 241,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,307.60 : 747,534.30 = 161,290.90 : x
  2. Step 2: Convert to fraction form
    498,307.60/747,534.30 = 161,290.90/x
  3. Step 3: Cross multiply
    498,307.60x = 747,534.30 × 161,290.90
  4. Step 4: Simplify right side
    498,307.60x = 120,570,480,027.87
  5. Step 5: Solve for x
    x = 120,570,480,027.87/498,307.60
  6. Step 6: Final answer
    x = 241,959.95

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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.