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Finding the Fourth Proportional to 565,976.16, 781,034.08 and 311,321.92

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Solution

The fourth proportional to 565,976.16, 781,034.08 and 311,321.92 is: 429,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,976.16 : 781,034.08 = 311,321.92 : x
  2. Step 2: Convert to fraction form
    565,976.16/781,034.08 = 311,321.92/x
  3. Step 3: Cross multiply
    565,976.16x = 781,034.08 × 311,321.92
  4. Step 4: Simplify right side
    565,976.16x = 243,153,029,371.03
  5. Step 5: Solve for x
    x = 243,153,029,371.03/565,976.16
  6. Step 6: Final answer
    x = 429,617.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.