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Finding the Fourth Proportional to 647,334.20, 971,438.70 and 363,024.20

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Solution

The fourth proportional to 647,334.20, 971,438.70 and 363,024.20 is: 544,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,334.20 : 971,438.70 = 363,024.20 : x
  2. Step 2: Convert to fraction form
    647,334.20/971,438.70 = 363,024.20/x
  3. Step 3: Cross multiply
    647,334.20x = 971,438.70 × 363,024.20
  4. Step 4: Simplify right side
    647,334.20x = 352,655,756,916.54
  5. Step 5: Solve for x
    x = 352,655,756,916.54/647,334.20
  6. Step 6: Final answer
    x = 544,781.59

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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.