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Finding the Fourth Proportional to 459,468.80, 688,920.96 and 178,658.72

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Solution

The fourth proportional to 459,468.80, 688,920.96 and 178,658.72 is: 267,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,468.80 : 688,920.96 = 178,658.72 : x
  2. Step 2: Convert to fraction form
    459,468.80/688,920.96 = 178,658.72/x
  3. Step 3: Cross multiply
    459,468.80x = 688,920.96 × 178,658.72
  4. Step 4: Simplify right side
    459,468.80x = 123,081,736,894.77
  5. Step 5: Solve for x
    x = 123,081,736,894.77/459,468.80
  6. Step 6: Final answer
    x = 267,878.33

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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.