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Finding the Fourth Proportional to 287,242.56, 431,060.67 and 100,254.06

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Solution

The fourth proportional to 287,242.56, 431,060.67 and 100,254.06 is: 150,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,242.56 : 431,060.67 = 100,254.06 : x
  2. Step 2: Convert to fraction form
    287,242.56/431,060.67 = 100,254.06/x
  3. Step 3: Cross multiply
    287,242.56x = 431,060.67 × 100,254.06
  4. Step 4: Simplify right side
    287,242.56x = 43,215,582,273.82
  5. Step 5: Solve for x
    x = 43,215,582,273.82/287,242.56
  6. Step 6: Final answer
    x = 150,449.79

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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.