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Finding the Fourth Proportional to 657,198.30, 983,610.45 and 476,770.80

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Solution

The fourth proportional to 657,198.30, 983,610.45 and 476,770.80 is: 713,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,198.30 : 983,610.45 = 476,770.80 : x
  2. Step 2: Convert to fraction form
    657,198.30/983,610.45 = 476,770.80/x
  3. Step 3: Cross multiply
    657,198.30x = 983,610.45 × 476,770.80
  4. Step 4: Simplify right side
    657,198.30x = 468,956,741,134.86
  5. Step 5: Solve for x
    x = 468,956,741,134.86/657,198.30
  6. Step 6: Final answer
    x = 713,569.62

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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.