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Finding the Fourth Proportional to 597,700.80, 896,551.20 and 538,651.80

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Solution

The fourth proportional to 597,700.80, 896,551.20 and 538,651.80 is: 807,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,700.80 : 896,551.20 = 538,651.80 : x
  2. Step 2: Convert to fraction form
    597,700.80/896,551.20 = 538,651.80/x
  3. Step 3: Cross multiply
    597,700.80x = 896,551.20 × 538,651.80
  4. Step 4: Simplify right side
    597,700.80x = 482,928,917,672.16
  5. Step 5: Solve for x
    x = 482,928,917,672.16/597,700.80
  6. Step 6: Final answer
    x = 807,977.70

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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.