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Finding the Fourth Proportional to 657,101.32, 986,559.63 and 454,197.58

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Solution

The fourth proportional to 657,101.32, 986,559.63 and 454,197.58 is: 681,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,101.32 : 986,559.63 = 454,197.58 : x
  2. Step 2: Convert to fraction form
    657,101.32/986,559.63 = 454,197.58/x
  3. Step 3: Cross multiply
    657,101.32x = 986,559.63 × 454,197.58
  4. Step 4: Simplify right side
    657,101.32x = 448,092,996,471.70
  5. Step 5: Solve for x
    x = 448,092,996,471.70/657,101.32
  6. Step 6: Final answer
    x = 681,923.75

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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.