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Finding the Fourth Proportional to 459,854.45, 689,957.25 and 179,393.57

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Solution

The fourth proportional to 459,854.45, 689,957.25 and 179,393.57 is: 269,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,854.45 : 689,957.25 = 179,393.57 : x
  2. Step 2: Convert to fraction form
    459,854.45/689,957.25 = 179,393.57/x
  3. Step 3: Cross multiply
    459,854.45x = 689,957.25 × 179,393.57
  4. Step 4: Simplify right side
    459,854.45x = 123,773,894,224.88
  5. Step 5: Solve for x
    x = 123,773,894,224.88/459,854.45
  6. Step 6: Final answer
    x = 269,158.85

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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.