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Finding the Fourth Proportional to 647,693.20, 971,539.80 and 512,390.80

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Solution

The fourth proportional to 647,693.20, 971,539.80 and 512,390.80 is: 768,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,693.20 : 971,539.80 = 512,390.80 : x
  2. Step 2: Convert to fraction form
    647,693.20/971,539.80 = 512,390.80/x
  3. Step 3: Cross multiply
    647,693.20x = 971,539.80 × 512,390.80
  4. Step 4: Simplify right side
    647,693.20x = 497,808,055,353.84
  5. Step 5: Solve for x
    x = 497,808,055,353.84/647,693.20
  6. Step 6: Final answer
    x = 768,586.20

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1.5x scale

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.