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Finding the Fourth Proportional to 410,282.88, 615,003.84 and 157,495.20

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Solution

The fourth proportional to 410,282.88, 615,003.84 and 157,495.20 is: 236,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,282.88 : 615,003.84 = 157,495.20 : x
  2. Step 2: Convert to fraction form
    410,282.88/615,003.84 = 157,495.20/x
  3. Step 3: Cross multiply
    410,282.88x = 615,003.84 × 157,495.20
  4. Step 4: Simplify right side
    410,282.88x = 96,860,152,781.57
  5. Step 5: Solve for x
    x = 96,860,152,781.57/410,282.88
  6. Step 6: Final answer
    x = 236,081.39

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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.