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Finding the Fourth Proportional to 419,201.57, 578,500.34 and 228,216.33

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Solution

The fourth proportional to 419,201.57, 578,500.34 and 228,216.33 is: 314,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,201.57 : 578,500.34 = 228,216.33 : x
  2. Step 2: Convert to fraction form
    419,201.57/578,500.34 = 228,216.33/x
  3. Step 3: Cross multiply
    419,201.57x = 578,500.34 × 228,216.33
  4. Step 4: Simplify right side
    419,201.57x = 132,023,224,498.55
  5. Step 5: Solve for x
    x = 132,023,224,498.55/419,201.57
  6. Step 6: Final answer
    x = 314,939.72

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1.5x scale

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.