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Finding the Fourth Proportional to 1,024,314.80, 1,536,472.20 and 971,826.80

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Solution

The fourth proportional to 1,024,314.80, 1,536,472.20 and 971,826.80 is: 1,457,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,314.80 : 1,536,472.20 = 971,826.80 : x
  2. Step 2: Convert to fraction form
    1,024,314.80/1,536,472.20 = 971,826.80/x
  3. Step 3: Cross multiply
    1,024,314.80x = 1,536,472.20 × 971,826.80
  4. Step 4: Simplify right side
    1,024,314.80x = 1,493,184,861,414.96
  5. Step 5: Solve for x
    x = 1,493,184,861,414.96/1,024,314.80
  6. Step 6: Final answer
    x = 1,457,740.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.