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Finding the Fourth Proportional to 434,062.80, 650,057.40 and 266,101.20

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Solution

The fourth proportional to 434,062.80, 650,057.40 and 266,101.20 is: 398,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,062.80 : 650,057.40 = 266,101.20 : x
  2. Step 2: Convert to fraction form
    434,062.80/650,057.40 = 266,101.20/x
  3. Step 3: Cross multiply
    434,062.80x = 650,057.40 × 266,101.20
  4. Step 4: Simplify right side
    434,062.80x = 172,981,054,208.88
  5. Step 5: Solve for x
    x = 172,981,054,208.88/434,062.80
  6. Step 6: Final answer
    x = 398,516.19

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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.