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Finding the Fourth Proportional to 275,587.20, 413,380.80 and 256,924.80

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Solution

The fourth proportional to 275,587.20, 413,380.80 and 256,924.80 is: 385,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,587.20 : 413,380.80 = 256,924.80 : x
  2. Step 2: Convert to fraction form
    275,587.20/413,380.80 = 256,924.80/x
  3. Step 3: Cross multiply
    275,587.20x = 413,380.80 × 256,924.80
  4. Step 4: Simplify right side
    275,587.20x = 106,207,779,363.84
  5. Step 5: Solve for x
    x = 106,207,779,363.84/275,587.20
  6. Step 6: Final answer
    x = 385,387.20

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1.5x scale

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.