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Finding the Fourth Proportional to 727,082.80, 1,003,364.72 and 421,200.88

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Solution

The fourth proportional to 727,082.80, 1,003,364.72 and 421,200.88 is: 581,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,082.80 : 1,003,364.72 = 421,200.88 : x
  2. Step 2: Convert to fraction form
    727,082.80/1,003,364.72 = 421,200.88/x
  3. Step 3: Cross multiply
    727,082.80x = 1,003,364.72 × 421,200.88
  4. Step 4: Simplify right side
    727,082.80x = 422,618,103,024.95
  5. Step 5: Solve for x
    x = 422,618,103,024.95/727,082.80
  6. Step 6: Final answer
    x = 581,251.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.