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Finding the Fourth Proportional to 391,195.24, 586,698.46 and 180,630.76

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Solution

The fourth proportional to 391,195.24, 586,698.46 and 180,630.76 is: 270,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,195.24 : 586,698.46 = 180,630.76 : x
  2. Step 2: Convert to fraction form
    391,195.24/586,698.46 = 180,630.76/x
  3. Step 3: Cross multiply
    391,195.24x = 586,698.46 × 180,630.76
  4. Step 4: Simplify right side
    391,195.24x = 105,975,788,720.63
  5. Step 5: Solve for x
    x = 105,975,788,720.63/391,195.24
  6. Step 6: Final answer
    x = 270,902.55

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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.