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Finding the Fourth Proportional to 561,761.64, 842,471.08 and 295,377.64

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Solution

The fourth proportional to 561,761.64, 842,471.08 and 295,377.64 is: 442,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,761.64 : 842,471.08 = 295,377.64 : x
  2. Step 2: Convert to fraction form
    561,761.64/842,471.08 = 295,377.64/x
  3. Step 3: Cross multiply
    561,761.64x = 842,471.08 × 295,377.64
  4. Step 4: Simplify right side
    561,761.64x = 248,847,119,378.65
  5. Step 5: Solve for x
    x = 248,847,119,378.65/561,761.64
  6. Step 6: Final answer
    x = 442,976.35

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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.