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Finding the Fourth Proportional to 414,254.80, 571,692.24 and 233,023.76

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Solution

The fourth proportional to 414,254.80, 571,692.24 and 233,023.76 is: 321,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,254.80 : 571,692.24 = 233,023.76 : x
  2. Step 2: Convert to fraction form
    414,254.80/571,692.24 = 233,023.76/x
  3. Step 3: Cross multiply
    414,254.80x = 571,692.24 × 233,023.76
  4. Step 4: Simplify right side
    414,254.80x = 133,217,875,327.62
  5. Step 5: Solve for x
    x = 133,217,875,327.62/414,254.80
  6. Step 6: Final answer
    x = 321,584.39

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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.