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Finding the Fourth Proportional to 391,186.40, 586,798.80 and 204,562.40

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Solution

The fourth proportional to 391,186.40, 586,798.80 and 204,562.40 is: 306,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,186.40 : 586,798.80 = 204,562.40 : x
  2. Step 2: Convert to fraction form
    391,186.40/586,798.80 = 204,562.40/x
  3. Step 3: Cross multiply
    391,186.40x = 586,798.80 × 204,562.40
  4. Step 4: Simplify right side
    391,186.40x = 120,036,970,845.12
  5. Step 5: Solve for x
    x = 120,036,970,845.12/391,186.40
  6. Step 6: Final answer
    x = 306,853.64

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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.