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Finding the Fourth Proportional to 657,535.28, 986,265.92 and 177,756

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Solution

The fourth proportional to 657,535.28, 986,265.92 and 177,756 is: 266,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,535.28 : 986,265.92 = 177,756 : x
  2. Step 2: Convert to fraction form
    657,535.28/986,265.92 = 177,756/x
  3. Step 3: Cross multiply
    657,535.28x = 986,265.92 × 177,756
  4. Step 4: Simplify right side
    657,535.28x = 175,314,684,875.52
  5. Step 5: Solve for x
    x = 175,314,684,875.52/657,535.28
  6. Step 6: Final answer
    x = 266,624.00

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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.