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Finding the Fourth Proportional to 727,522.19, 1,003,903.84 and 421,694.50

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Solution

The fourth proportional to 727,522.19, 1,003,903.84 and 421,694.50 is: 581,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,522.19 : 1,003,903.84 = 421,694.50 : x
  2. Step 2: Convert to fraction form
    727,522.19/1,003,903.84 = 421,694.50/x
  3. Step 3: Cross multiply
    727,522.19x = 1,003,903.84 × 421,694.50
  4. Step 4: Simplify right side
    727,522.19x = 423,340,727,856.88
  5. Step 5: Solve for x
    x = 423,340,727,856.88/727,522.19
  6. Step 6: Final answer
    x = 581,893.90

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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.