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Finding the Fourth Proportional to 597,204.80, 895,807.20 and 538,155.80

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Solution

The fourth proportional to 597,204.80, 895,807.20 and 538,155.80 is: 807,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,204.80 : 895,807.20 = 538,155.80 : x
  2. Step 2: Convert to fraction form
    597,204.80/895,807.20 = 538,155.80/x
  3. Step 3: Cross multiply
    597,204.80x = 895,807.20 × 538,155.80
  4. Step 4: Simplify right side
    597,204.80x = 482,083,840,361.76
  5. Step 5: Solve for x
    x = 482,083,840,361.76/597,204.80
  6. Step 6: Final answer
    x = 807,233.70

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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.