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Finding the Fourth Proportional to 552,027.60, 827,458.20 and 314,859.60

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Solution

The fourth proportional to 552,027.60, 827,458.20 and 314,859.60 is: 471,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,027.60 : 827,458.20 = 314,859.60 : x
  2. Step 2: Convert to fraction form
    552,027.60/827,458.20 = 314,859.60/x
  3. Step 3: Cross multiply
    552,027.60x = 827,458.20 × 314,859.60
  4. Step 4: Simplify right side
    552,027.60x = 260,533,157,868.72
  5. Step 5: Solve for x
    x = 260,533,157,868.72/552,027.60
  6. Step 6: Final answer
    x = 471,956.76

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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.