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Finding the Fourth Proportional to 552,297.36, 828,353.56 and 152,978.32

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Solution

The fourth proportional to 552,297.36, 828,353.56 and 152,978.32 is: 229,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,297.36 : 828,353.56 = 152,978.32 : x
  2. Step 2: Convert to fraction form
    552,297.36/828,353.56 = 152,978.32/x
  3. Step 3: Cross multiply
    552,297.36x = 828,353.56 × 152,978.32
  4. Step 4: Simplify right side
    552,297.36x = 126,720,135,974.82
  5. Step 5: Solve for x
    x = 126,720,135,974.82/552,297.36
  6. Step 6: Final answer
    x = 229,441.86

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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.