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Finding the Fourth Proportional to 354,817.60, 532,377.60 and 186,467.20

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Solution

The fourth proportional to 354,817.60, 532,377.60 and 186,467.20 is: 279,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,817.60 : 532,377.60 = 186,467.20 : x
  2. Step 2: Convert to fraction form
    354,817.60/532,377.60 = 186,467.20/x
  3. Step 3: Cross multiply
    354,817.60x = 532,377.60 × 186,467.20
  4. Step 4: Simplify right side
    354,817.60x = 99,270,960,414.72
  5. Step 5: Solve for x
    x = 99,270,960,414.72/354,817.60
  6. Step 6: Final answer
    x = 279,780.26

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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.