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Finding the Fourth Proportional to 498,223.98, 747,454.61 and 161,264.70

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Solution

The fourth proportional to 498,223.98, 747,454.61 and 161,264.70 is: 241,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,223.98 : 747,454.61 = 161,264.70 : x
  2. Step 2: Convert to fraction form
    498,223.98/747,454.61 = 161,264.70/x
  3. Step 3: Cross multiply
    498,223.98x = 747,454.61 × 161,264.70
  4. Step 4: Simplify right side
    498,223.98x = 120,538,043,848.43
  5. Step 5: Solve for x
    x = 120,538,043,848.43/498,223.98
  6. Step 6: Final answer
    x = 241,935.45

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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.