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Finding the Fourth Proportional to 361,037.48, 542,081.10 and 266,559.08

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Solution

The fourth proportional to 361,037.48, 542,081.10 and 266,559.08 is: 400,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,037.48 : 542,081.10 = 266,559.08 : x
  2. Step 2: Convert to fraction form
    361,037.48/542,081.10 = 266,559.08/x
  3. Step 3: Cross multiply
    361,037.48x = 542,081.10 × 266,559.08
  4. Step 4: Simplify right side
    361,037.48x = 144,496,639,301.39
  5. Step 5: Solve for x
    x = 144,496,639,301.39/361,037.48
  6. Step 6: Final answer
    x = 400,226.15

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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.