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Finding the Fourth Proportional to 377,814.96, 566,067.96 and 265,281.12

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Solution

The fourth proportional to 377,814.96, 566,067.96 and 265,281.12 is: 397,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,814.96 : 566,067.96 = 265,281.12 : x
  2. Step 2: Convert to fraction form
    377,814.96/566,067.96 = 265,281.12/x
  3. Step 3: Cross multiply
    377,814.96x = 566,067.96 × 265,281.12
  4. Step 4: Simplify right side
    377,814.96x = 150,167,142,424.92
  5. Step 5: Solve for x
    x = 150,167,142,424.92/377,814.96
  6. Step 6: Final answer
    x = 397,462.14

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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.