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Finding the Fourth Proportional to 391,415.94, 587,357.19 and 142,117.38

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Solution

The fourth proportional to 391,415.94, 587,357.19 and 142,117.38 is: 213,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,415.94 : 587,357.19 = 142,117.38 : x
  2. Step 2: Convert to fraction form
    391,415.94/587,357.19 = 142,117.38/x
  3. Step 3: Cross multiply
    391,415.94x = 587,357.19 × 142,117.38
  4. Step 4: Simplify right side
    391,415.94x = 83,473,664,966.96
  5. Step 5: Solve for x
    x = 83,473,664,966.96/391,415.94
  6. Step 6: Final answer
    x = 213,260.77

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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.