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Finding the Fourth Proportional to 647,370.20, 971,053.68 and 174,055.52

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Solution

The fourth proportional to 647,370.20, 971,053.68 and 174,055.52 is: 261,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,370.20 : 971,053.68 = 174,055.52 : x
  2. Step 2: Convert to fraction form
    647,370.20/971,053.68 = 174,055.52/x
  3. Step 3: Cross multiply
    647,370.20x = 971,053.68 × 174,055.52
  4. Step 4: Simplify right side
    647,370.20x = 169,017,253,220.31
  5. Step 5: Solve for x
    x = 169,017,253,220.31/647,370.20
  6. Step 6: Final answer
    x = 261,082.84

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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.