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Finding the Fourth Proportional to 567,117.76, 781,546.24 and 405,692.88

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Solution

The fourth proportional to 567,117.76, 781,546.24 and 405,692.88 is: 559,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,117.76 : 781,546.24 = 405,692.88 : x
  2. Step 2: Convert to fraction form
    567,117.76/781,546.24 = 405,692.88/x
  3. Step 3: Cross multiply
    567,117.76x = 781,546.24 × 405,692.88
  4. Step 4: Simplify right side
    567,117.76x = 317,067,744,958.77
  5. Step 5: Solve for x
    x = 317,067,744,958.77/567,117.76
  6. Step 6: Final answer
    x = 559,086.26

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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.