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Finding the Fourth Proportional to 459,574.68, 689,380.56 and 160,085.55

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Solution

The fourth proportional to 459,574.68, 689,380.56 and 160,085.55 is: 240,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,574.68 : 689,380.56 = 160,085.55 : x
  2. Step 2: Convert to fraction form
    459,574.68/689,380.56 = 160,085.55/x
  3. Step 3: Cross multiply
    459,574.68x = 689,380.56 × 160,085.55
  4. Step 4: Simplify right side
    459,574.68x = 110,359,863,521.73
  5. Step 5: Solve for x
    x = 110,359,863,521.73/459,574.68
  6. Step 6: Final answer
    x = 240,134.78

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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.