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Finding the Fourth Proportional to 647,965.80, 971,948.70 and 227,089.80

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Solution

The fourth proportional to 647,965.80, 971,948.70 and 227,089.80 is: 340,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,965.80 : 971,948.70 = 227,089.80 : x
  2. Step 2: Convert to fraction form
    647,965.80/971,948.70 = 227,089.80/x
  3. Step 3: Cross multiply
    647,965.80x = 971,948.70 × 227,089.80
  4. Step 4: Simplify right side
    647,965.80x = 220,719,635,893.26
  5. Step 5: Solve for x
    x = 220,719,635,893.26/647,965.80
  6. Step 6: Final answer
    x = 340,634.70

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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.