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Finding the Fourth Proportional to 552,201.18, 826,825.50 and 315,217.86

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Solution

The fourth proportional to 552,201.18, 826,825.50 and 315,217.86 is: 471,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,201.18 : 826,825.50 = 315,217.86 : x
  2. Step 2: Convert to fraction form
    552,201.18/826,825.50 = 315,217.86/x
  3. Step 3: Cross multiply
    552,201.18x = 826,825.50 × 315,217.86
  4. Step 4: Simplify right side
    552,201.18x = 260,630,164,703.43
  5. Step 5: Solve for x
    x = 260,630,164,703.43/552,201.18
  6. Step 6: Final answer
    x = 471,984.08

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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.