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Finding the Fourth Proportional to 496,909.13, 745,347.29 and 159,968.97

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Solution

The fourth proportional to 496,909.13, 745,347.29 and 159,968.97 is: 239,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,909.13 : 745,347.29 = 159,968.97 : x
  2. Step 2: Convert to fraction form
    496,909.13/745,347.29 = 159,968.97/x
  3. Step 3: Cross multiply
    496,909.13x = 745,347.29 × 159,968.97
  4. Step 4: Simplify right side
    496,909.13x = 119,232,437,473.75
  5. Step 5: Solve for x
    x = 119,232,437,473.75/496,909.13
  6. Step 6: Final answer
    x = 239,948.17

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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.