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Finding the Fourth Proportional to 552,025.60, 827,455.20 and 314,857.60

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Solution

The fourth proportional to 552,025.60, 827,455.20 and 314,857.60 is: 471,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,025.60 : 827,455.20 = 314,857.60 : x
  2. Step 2: Convert to fraction form
    552,025.60/827,455.20 = 314,857.60/x
  3. Step 3: Cross multiply
    552,025.60x = 827,455.20 × 314,857.60
  4. Step 4: Simplify right side
    552,025.60x = 260,530,558,379.52
  5. Step 5: Solve for x
    x = 260,530,558,379.52/552,025.60
  6. Step 6: Final answer
    x = 471,953.76

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1.5x scale

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.