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Finding the Fourth Proportional to 567,265.80, 782,863.76 and 325,626.60

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Solution

The fourth proportional to 567,265.80, 782,863.76 and 325,626.60 is: 449,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,265.80 : 782,863.76 = 325,626.60 : x
  2. Step 2: Convert to fraction form
    567,265.80/782,863.76 = 325,626.60/x
  3. Step 3: Cross multiply
    567,265.80x = 782,863.76 × 325,626.60
  4. Step 4: Simplify right side
    567,265.80x = 254,921,264,432.02
  5. Step 5: Solve for x
    x = 254,921,264,432.02/567,265.80
  6. Step 6: Final answer
    x = 449,385.92

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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.