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Finding the Fourth Proportional to 402,674.49, 604,042.65 and 132,697.62

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Solution

The fourth proportional to 402,674.49, 604,042.65 and 132,697.62 is: 199,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,674.49 : 604,042.65 = 132,697.62 : x
  2. Step 2: Convert to fraction form
    402,674.49/604,042.65 = 132,697.62/x
  3. Step 3: Cross multiply
    402,674.49x = 604,042.65 × 132,697.62
  4. Step 4: Simplify right side
    402,674.49x = 80,155,022,033.49
  5. Step 5: Solve for x
    x = 80,155,022,033.49/402,674.49
  6. Step 6: Final answer
    x = 199,056.62

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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.