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Finding the Fourth Proportional to 657,965.20, 986,947.80 and 596,947.90

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Solution

The fourth proportional to 657,965.20, 986,947.80 and 596,947.90 is: 895,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,965.20 : 986,947.80 = 596,947.90 : x
  2. Step 2: Convert to fraction form
    657,965.20/986,947.80 = 596,947.90/x
  3. Step 3: Cross multiply
    657,965.20x = 986,947.80 × 596,947.90
  4. Step 4: Simplify right side
    657,965.20x = 589,156,416,619.62
  5. Step 5: Solve for x
    x = 589,156,416,619.62/657,965.20
  6. Step 6: Final answer
    x = 895,421.85

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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.