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Finding the Fourth Proportional to 657,843.53, 986,965.76 and 278,566.70

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Solution

The fourth proportional to 657,843.53, 986,965.76 and 278,566.70 is: 417,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,843.53 : 986,965.76 = 278,566.70 : x
  2. Step 2: Convert to fraction form
    657,843.53/986,965.76 = 278,566.70/x
  3. Step 3: Cross multiply
    657,843.53x = 986,965.76 × 278,566.70
  4. Step 4: Simplify right side
    657,843.53x = 274,935,790,537.78
  5. Step 5: Solve for x
    x = 274,935,790,537.78/657,843.53
  6. Step 6: Final answer
    x = 417,934.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.