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Finding the Fourth Proportional to 657,100.32, 986,558.13 and 454,196.58

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Solution

The fourth proportional to 657,100.32, 986,558.13 and 454,196.58 is: 681,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,100.32 : 986,558.13 = 454,196.58 : x
  2. Step 2: Convert to fraction form
    657,100.32/986,558.13 = 454,196.58/x
  3. Step 3: Cross multiply
    657,100.32x = 986,558.13 × 454,196.58
  4. Step 4: Simplify right side
    657,100.32x = 448,091,328,617.20
  5. Step 5: Solve for x
    x = 448,091,328,617.20/657,100.32
  6. Step 6: Final answer
    x = 681,922.25

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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.