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Finding the Fourth Proportional to 465,178.60, 697,324.95 and 149,414.11

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Solution

The fourth proportional to 465,178.60, 697,324.95 and 149,414.11 is: 223,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,178.60 : 697,324.95 = 149,414.11 : x
  2. Step 2: Convert to fraction form
    465,178.60/697,324.95 = 149,414.11/x
  3. Step 3: Cross multiply
    465,178.60x = 697,324.95 × 149,414.11
  4. Step 4: Simplify right side
    465,178.60x = 104,190,186,785.04
  5. Step 5: Solve for x
    x = 104,190,186,785.04/465,178.60
  6. Step 6: Final answer
    x = 223,978.89

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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.