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Finding the Fourth Proportional to 402,079.40, 603,119.10 and 106,591.40

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Solution

The fourth proportional to 402,079.40, 603,119.10 and 106,591.40 is: 159,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,079.40 : 603,119.10 = 106,591.40 : x
  2. Step 2: Convert to fraction form
    402,079.40/603,119.10 = 106,591.40/x
  3. Step 3: Cross multiply
    402,079.40x = 603,119.10 × 106,591.40
  4. Step 4: Simplify right side
    402,079.40x = 64,287,309,235.74
  5. Step 5: Solve for x
    x = 64,287,309,235.74/402,079.40
  6. Step 6: Final answer
    x = 159,887.10

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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.