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Finding the Fourth Proportional to 391,566.40, 586,183.20 and 233,713.60

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Solution

The fourth proportional to 391,566.40, 586,183.20 and 233,713.60 is: 349,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,566.40 : 586,183.20 = 233,713.60 : x
  2. Step 2: Convert to fraction form
    391,566.40/586,183.20 = 233,713.60/x
  3. Step 3: Cross multiply
    391,566.40x = 586,183.20 × 233,713.60
  4. Step 4: Simplify right side
    391,566.40x = 136,998,985,931.52
  5. Step 5: Solve for x
    x = 136,998,985,931.52/391,566.40
  6. Step 6: Final answer
    x = 349,874.21

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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.