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Finding the Fourth Proportional to 349,086.36, 482,023.26 and 284,565.72

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Solution

The fourth proportional to 349,086.36, 482,023.26 and 284,565.72 is: 392,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,086.36 : 482,023.26 = 284,565.72 : x
  2. Step 2: Convert to fraction form
    349,086.36/482,023.26 = 284,565.72/x
  3. Step 3: Cross multiply
    349,086.36x = 482,023.26 × 284,565.72
  4. Step 4: Simplify right side
    349,086.36x = 137,167,296,038.65
  5. Step 5: Solve for x
    x = 137,167,296,038.65/349,086.36
  6. Step 6: Final answer
    x = 392,932.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.