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Finding the Fourth Proportional to 400,562.88, 552,841.15 and 228,536.96

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Solution

The fourth proportional to 400,562.88, 552,841.15 and 228,536.96 is: 315,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,562.88 : 552,841.15 = 228,536.96 : x
  2. Step 2: Convert to fraction form
    400,562.88/552,841.15 = 228,536.96/x
  3. Step 3: Cross multiply
    400,562.88x = 552,841.15 × 228,536.96
  4. Step 4: Simplify right side
    400,562.88x = 126,344,635,783.90
  5. Step 5: Solve for x
    x = 126,344,635,783.90/400,562.88
  6. Step 6: Final answer
    x = 315,417.73

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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.