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Finding the Fourth Proportional to 381,710.60, 572,565.90 and 223,857.80

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Solution

The fourth proportional to 381,710.60, 572,565.90 and 223,857.80 is: 335,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,710.60 : 572,565.90 = 223,857.80 : x
  2. Step 2: Convert to fraction form
    381,710.60/572,565.90 = 223,857.80/x
  3. Step 3: Cross multiply
    381,710.60x = 572,565.90 × 223,857.80
  4. Step 4: Simplify right side
    381,710.60x = 128,173,342,729.02
  5. Step 5: Solve for x
    x = 128,173,342,729.02/381,710.60
  6. Step 6: Final answer
    x = 335,786.70

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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.