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Finding the Fourth Proportional to 552,234.86, 828,353.37 and 152,876.78

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Solution

The fourth proportional to 552,234.86, 828,353.37 and 152,876.78 is: 229,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,234.86 : 828,353.37 = 152,876.78 : x
  2. Step 2: Convert to fraction form
    552,234.86/828,353.37 = 152,876.78/x
  3. Step 3: Cross multiply
    552,234.86x = 828,353.37 × 152,876.78
  4. Step 4: Simplify right side
    552,234.86x = 126,635,995,907.75
  5. Step 5: Solve for x
    x = 126,635,995,907.75/552,234.86
  6. Step 6: Final answer
    x = 229,315.47

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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.