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Finding the Fourth Proportional to 542,104.32, 748,228.80 and 360,823.44

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Solution

The fourth proportional to 542,104.32, 748,228.80 and 360,823.44 is: 498,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,104.32 : 748,228.80 = 360,823.44 : x
  2. Step 2: Convert to fraction form
    542,104.32/748,228.80 = 360,823.44/x
  3. Step 3: Cross multiply
    542,104.32x = 748,228.80 × 360,823.44
  4. Step 4: Simplify right side
    542,104.32x = 269,978,489,523.07
  5. Step 5: Solve for x
    x = 269,978,489,523.07/542,104.32
  6. Step 6: Final answer
    x = 498,019.44

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1.5x scale

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.