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Finding the Fourth Proportional to 290,711.80, 435,776.10 and 133,053.40

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Solution

The fourth proportional to 290,711.80, 435,776.10 and 133,053.40 is: 199,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,711.80 : 435,776.10 = 133,053.40 : x
  2. Step 2: Convert to fraction form
    290,711.80/435,776.10 = 133,053.40/x
  3. Step 3: Cross multiply
    290,711.80x = 435,776.10 × 133,053.40
  4. Step 4: Simplify right side
    290,711.80x = 57,981,491,743.74
  5. Step 5: Solve for x
    x = 57,981,491,743.74/290,711.80
  6. Step 6: Final answer
    x = 199,446.64

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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.