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Finding the Fourth Proportional to 542,108.32, 748,234.32 and 360,827.44

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Solution

The fourth proportional to 542,108.32, 748,234.32 and 360,827.44 is: 498,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,108.32 : 748,234.32 = 360,827.44 : x
  2. Step 2: Convert to fraction form
    542,108.32/748,234.32 = 360,827.44/x
  3. Step 3: Cross multiply
    542,108.32x = 748,234.32 × 360,827.44
  4. Step 4: Simplify right side
    542,108.32x = 269,983,474,205.74
  5. Step 5: Solve for x
    x = 269,983,474,205.74/542,108.32
  6. Step 6: Final answer
    x = 498,024.96

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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.