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Finding the Fourth Proportional to 357,355.78, 535,919.98 and 117,414.37

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Solution

The fourth proportional to 357,355.78, 535,919.98 and 117,414.37 is: 176,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,355.78 : 535,919.98 = 117,414.37 : x
  2. Step 2: Convert to fraction form
    357,355.78/535,919.98 = 117,414.37/x
  3. Step 3: Cross multiply
    357,355.78x = 535,919.98 × 117,414.37
  4. Step 4: Simplify right side
    357,355.78x = 62,924,706,822.11
  5. Step 5: Solve for x
    x = 62,924,706,822.11/357,355.78
  6. Step 6: Final answer
    x = 176,084.20

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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.