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Finding the Fourth Proportional to 538,822.70, 807,715.65 and 418,813.10

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Solution

The fourth proportional to 538,822.70, 807,715.65 and 418,813.10 is: 627,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,822.70 : 807,715.65 = 418,813.10 : x
  2. Step 2: Convert to fraction form
    538,822.70/807,715.65 = 418,813.10/x
  3. Step 3: Cross multiply
    538,822.70x = 807,715.65 × 418,813.10
  4. Step 4: Simplify right side
    538,822.70x = 338,281,895,295.02
  5. Step 5: Solve for x
    x = 338,281,895,295.02/538,822.70
  6. Step 6: Final answer
    x = 627,816.71

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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.