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Finding the Fourth Proportional to 477,288.39, 715,760.35 and 140,238.88

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Solution

The fourth proportional to 477,288.39, 715,760.35 and 140,238.88 is: 210,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,288.39 : 715,760.35 = 140,238.88 : x
  2. Step 2: Convert to fraction form
    477,288.39/715,760.35 = 140,238.88/x
  3. Step 3: Cross multiply
    477,288.39x = 715,760.35 × 140,238.88
  4. Step 4: Simplify right side
    477,288.39x = 100,377,429,832.41
  5. Step 5: Solve for x
    x = 100,377,429,832.41/477,288.39
  6. Step 6: Final answer
    x = 210,307.71

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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.