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Finding the Fourth Proportional to 270,648.10, 405,972.15 and 256,132.90

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Solution

The fourth proportional to 270,648.10, 405,972.15 and 256,132.90 is: 384,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,648.10 : 405,972.15 = 256,132.90 : x
  2. Step 2: Convert to fraction form
    270,648.10/405,972.15 = 256,132.90/x
  3. Step 3: Cross multiply
    270,648.10x = 405,972.15 × 256,132.90
  4. Step 4: Simplify right side
    270,648.10x = 103,982,824,098.74
  5. Step 5: Solve for x
    x = 103,982,824,098.74/270,648.10
  6. Step 6: Final answer
    x = 384,199.35

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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.