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Finding the Fourth Proportional to 1,281,256.50, 1,923,043.86 and 682,723.20

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Solution

The fourth proportional to 1,281,256.50, 1,923,043.86 and 682,723.20 is: 1,024,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,256.50 : 1,923,043.86 = 682,723.20 : x
  2. Step 2: Convert to fraction form
    1,281,256.50/1,923,043.86 = 682,723.20/x
  3. Step 3: Cross multiply
    1,281,256.50x = 1,923,043.86 × 682,723.20
  4. Step 4: Simplify right side
    1,281,256.50x = 1,312,906,657,839.55
  5. Step 5: Solve for x
    x = 1,312,906,657,839.55/1,281,256.50
  6. Step 6: Final answer
    x = 1,024,702.44

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Why These Related Problems?

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