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Finding the Fourth Proportional to 377,410.33, 565,898.42 and 225,758.89

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Solution

The fourth proportional to 377,410.33, 565,898.42 and 225,758.89 is: 338,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,410.33 : 565,898.42 = 225,758.89 : x
  2. Step 2: Convert to fraction form
    377,410.33/565,898.42 = 225,758.89/x
  3. Step 3: Cross multiply
    377,410.33x = 565,898.42 × 225,758.89
  4. Step 4: Simplify right side
    377,410.33x = 127,756,598,023.16
  5. Step 5: Solve for x
    x = 127,756,598,023.16/377,410.33
  6. Step 6: Final answer
    x = 338,508.48

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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.