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Finding the Fourth Proportional to 566,108.92, 781,230.27 and 311,454.64

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Solution

The fourth proportional to 566,108.92, 781,230.27 and 311,454.64 is: 429,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,108.92 : 781,230.27 = 311,454.64 : x
  2. Step 2: Convert to fraction form
    566,108.92/781,230.27 = 311,454.64/x
  3. Step 3: Cross multiply
    566,108.92x = 781,230.27 × 311,454.64
  4. Step 4: Simplify right side
    566,108.92x = 243,317,792,499.95
  5. Step 5: Solve for x
    x = 243,317,792,499.95/566,108.92
  6. Step 6: Final answer
    x = 429,807.38

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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.