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Finding the Fourth Proportional to 408,094.50, 612,177.04 and 112,606.50

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Solution

The fourth proportional to 408,094.50, 612,177.04 and 112,606.50 is: 168,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,094.50 : 612,177.04 = 112,606.50 : x
  2. Step 2: Convert to fraction form
    408,094.50/612,177.04 = 112,606.50/x
  3. Step 3: Cross multiply
    408,094.50x = 612,177.04 × 112,606.50
  4. Step 4: Simplify right side
    408,094.50x = 68,935,113,854.76
  5. Step 5: Solve for x
    x = 68,935,113,854.76/408,094.50
  6. Step 6: Final answer
    x = 168,919.49

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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.