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Finding the Fourth Proportional to 459,364.80, 688,764.96 and 178,554.72

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Solution

The fourth proportional to 459,364.80, 688,764.96 and 178,554.72 is: 267,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,364.80 : 688,764.96 = 178,554.72 : x
  2. Step 2: Convert to fraction form
    459,364.80/688,764.96 = 178,554.72/x
  3. Step 3: Cross multiply
    459,364.80x = 688,764.96 × 178,554.72
  4. Step 4: Simplify right side
    459,364.80x = 122,982,234,578.61
  5. Step 5: Solve for x
    x = 122,982,234,578.61/459,364.80
  6. Step 6: Final answer
    x = 267,722.37

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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.