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Finding the Fourth Proportional to 657,534.28, 986,264.42 and 177,755

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Solution

The fourth proportional to 657,534.28, 986,264.42 and 177,755 is: 266,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,534.28 : 986,264.42 = 177,755 : x
  2. Step 2: Convert to fraction form
    657,534.28/986,264.42 = 177,755/x
  3. Step 3: Cross multiply
    657,534.28x = 986,264.42 × 177,755
  4. Step 4: Simplify right side
    657,534.28x = 175,313,431,977.10
  5. Step 5: Solve for x
    x = 175,313,431,977.10/657,534.28
  6. Step 6: Final answer
    x = 266,622.50

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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.