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Finding the Fourth Proportional to 469,160.92, 647,426.28 and 278,060.84

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Solution

The fourth proportional to 469,160.92, 647,426.28 and 278,060.84 is: 383,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,160.92 : 647,426.28 = 278,060.84 : x
  2. Step 2: Convert to fraction form
    469,160.92/647,426.28 = 278,060.84/x
  3. Step 3: Cross multiply
    469,160.92x = 647,426.28 × 278,060.84
  4. Step 4: Simplify right side
    469,160.92x = 180,023,895,254.88
  5. Step 5: Solve for x
    x = 180,023,895,254.88/469,160.92
  6. Step 6: Final answer
    x = 383,714.60

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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.