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Finding the Fourth Proportional to 647,987.80, 971,544.30 and 344,432.20

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Solution

The fourth proportional to 647,987.80, 971,544.30 and 344,432.20 is: 516,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,987.80 : 971,544.30 = 344,432.20 : x
  2. Step 2: Convert to fraction form
    647,987.80/971,544.30 = 344,432.20/x
  3. Step 3: Cross multiply
    647,987.80x = 971,544.30 × 344,432.20
  4. Step 4: Simplify right side
    647,987.80x = 334,631,140,646.46
  5. Step 5: Solve for x
    x = 334,631,140,646.46/647,987.80
  6. Step 6: Final answer
    x = 516,415.80

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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.