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Finding the Fourth Proportional to 614,153.48, 920,793.96 and 234,754.61

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Solution

The fourth proportional to 614,153.48, 920,793.96 and 234,754.61 is: 351,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,153.48 : 920,793.96 = 234,754.61 : x
  2. Step 2: Convert to fraction form
    614,153.48/920,793.96 = 234,754.61/x
  3. Step 3: Cross multiply
    614,153.48x = 920,793.96 × 234,754.61
  4. Step 4: Simplify right side
    614,153.48x = 216,160,622,366.19
  5. Step 5: Solve for x
    x = 216,160,622,366.19/614,153.48
  6. Step 6: Final answer
    x = 351,965.15

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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.