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Finding the Fourth Proportional to 294,039.63, 440,859.85 and 149,590.44

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Solution

The fourth proportional to 294,039.63, 440,859.85 and 149,590.44 is: 224,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039.63 : 440,859.85 = 149,590.44 : x
  2. Step 2: Convert to fraction form
    294,039.63/440,859.85 = 149,590.44/x
  3. Step 3: Cross multiply
    294,039.63x = 440,859.85 × 149,590.44
  4. Step 4: Simplify right side
    294,039.63x = 65,948,418,565.86
  5. Step 5: Solve for x
    x = 65,948,418,565.86/294,039.63
  6. Step 6: Final answer
    x = 224,284.12

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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.