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Finding the Fourth Proportional to 657,964.80, 986,947.20 and 564,652.80

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Solution

The fourth proportional to 657,964.80, 986,947.20 and 564,652.80 is: 846,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,964.80 : 986,947.20 = 564,652.80 : x
  2. Step 2: Convert to fraction form
    657,964.80/986,947.20 = 564,652.80/x
  3. Step 3: Cross multiply
    657,964.80x = 986,947.20 × 564,652.80
  4. Step 4: Simplify right side
    657,964.80x = 557,282,499,932.16
  5. Step 5: Solve for x
    x = 557,282,499,932.16/657,964.80
  6. Step 6: Final answer
    x = 846,979.20

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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.