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Finding the Fourth Proportional to 565,873.92, 847,671.20 and 261,839.60

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Solution

The fourth proportional to 565,873.92, 847,671.20 and 261,839.60 is: 392,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,873.92 : 847,671.20 = 261,839.60 : x
  2. Step 2: Convert to fraction form
    565,873.92/847,671.20 = 261,839.60/x
  3. Step 3: Cross multiply
    565,873.92x = 847,671.20 × 261,839.60
  4. Step 4: Simplify right side
    565,873.92x = 221,953,887,939.52
  5. Step 5: Solve for x
    x = 221,953,887,939.52/565,873.92
  6. Step 6: Final answer
    x = 392,232.05

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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.