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Finding the Fourth Proportional to 647,435.40, 970,692.30 and 247,921.80

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Solution

The fourth proportional to 647,435.40, 970,692.30 and 247,921.80 is: 371,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,435.40 : 970,692.30 = 247,921.80 : x
  2. Step 2: Convert to fraction form
    647,435.40/970,692.30 = 247,921.80/x
  3. Step 3: Cross multiply
    647,435.40x = 970,692.30 × 247,921.80
  4. Step 4: Simplify right side
    647,435.40x = 240,655,782,262.14
  5. Step 5: Solve for x
    x = 240,655,782,262.14/647,435.40
  6. Step 6: Final answer
    x = 371,706.25

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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.