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Finding the Fourth Proportional to 472,842.96, 709,211.84 and 169,224.88

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Solution

The fourth proportional to 472,842.96, 709,211.84 and 169,224.88 is: 253,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,842.96 : 709,211.84 = 169,224.88 : x
  2. Step 2: Convert to fraction form
    472,842.96/709,211.84 = 169,224.88/x
  3. Step 3: Cross multiply
    472,842.96x = 709,211.84 × 169,224.88
  4. Step 4: Simplify right side
    472,842.96x = 120,016,288,518.58
  5. Step 5: Solve for x
    x = 120,016,288,518.58/472,842.96
  6. Step 6: Final answer
    x = 253,818.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.