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Finding the Fourth Proportional to 567,205.74, 782,749.17 and 312,566.04

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Solution

The fourth proportional to 567,205.74, 782,749.17 and 312,566.04 is: 431,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,205.74 : 782,749.17 = 312,566.04 : x
  2. Step 2: Convert to fraction form
    567,205.74/782,749.17 = 312,566.04/x
  3. Step 3: Cross multiply
    567,205.74x = 782,749.17 × 312,566.04
  4. Step 4: Simplify right side
    567,205.74x = 244,660,808,380.19
  5. Step 5: Solve for x
    x = 244,660,808,380.19/567,205.74
  6. Step 6: Final answer
    x = 431,344.03

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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.