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Finding the Fourth Proportional to 498,759.90, 748,245.05 and 161,774.38

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Solution

The fourth proportional to 498,759.90, 748,245.05 and 161,774.38 is: 242,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,759.90 : 748,245.05 = 161,774.38 : x
  2. Step 2: Convert to fraction form
    498,759.90/748,245.05 = 161,774.38/x
  3. Step 3: Cross multiply
    498,759.90x = 748,245.05 × 161,774.38
  4. Step 4: Simplify right side
    498,759.90x = 121,046,879,051.82
  5. Step 5: Solve for x
    x = 121,046,879,051.82/498,759.90
  6. Step 6: Final answer
    x = 242,695.69

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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.