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Finding the Fourth Proportional to 566,092.80, 781,179.84 and 311,437.44

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Solution

The fourth proportional to 566,092.80, 781,179.84 and 311,437.44 is: 429,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,092.80 : 781,179.84 = 311,437.44 : x
  2. Step 2: Convert to fraction form
    566,092.80/781,179.84 = 311,437.44/x
  3. Step 3: Cross multiply
    566,092.80x = 781,179.84 × 311,437.44
  4. Step 4: Simplify right side
    566,092.80x = 243,288,649,549.21
  5. Step 5: Solve for x
    x = 243,288,649,549.21/566,092.80
  6. Step 6: Final answer
    x = 429,768.14

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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.