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Finding the Fourth Proportional to 459,377.53, 689,263.94 and 159,694.95

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Solution

The fourth proportional to 459,377.53, 689,263.94 and 159,694.95 is: 239,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,377.53 : 689,263.94 = 159,694.95 : x
  2. Step 2: Convert to fraction form
    459,377.53/689,263.94 = 159,694.95/x
  3. Step 3: Cross multiply
    459,377.53x = 689,263.94 × 159,694.95
  4. Step 4: Simplify right side
    459,377.53x = 110,071,970,435.10
  5. Step 5: Solve for x
    x = 110,071,970,435.10/459,377.53
  6. Step 6: Final answer
    x = 239,611.13

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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.