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Finding the Fourth Proportional to 391,432.40, 587,148.60 and 154,653.20

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Solution

The fourth proportional to 391,432.40, 587,148.60 and 154,653.20 is: 231,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,432.40 : 587,148.60 = 154,653.20 : x
  2. Step 2: Convert to fraction form
    391,432.40/587,148.60 = 154,653.20/x
  3. Step 3: Cross multiply
    391,432.40x = 587,148.60 × 154,653.20
  4. Step 4: Simplify right side
    391,432.40x = 90,804,409,865.52
  5. Step 5: Solve for x
    x = 90,804,409,865.52/391,432.40
  6. Step 6: Final answer
    x = 231,979.80

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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.