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Finding the Fourth Proportional to 657,693.14, 986,162.90 and 202,165.76

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Solution

The fourth proportional to 657,693.14, 986,162.90 and 202,165.76 is: 303,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,693.14 : 986,162.90 = 202,165.76 : x
  2. Step 2: Convert to fraction form
    657,693.14/986,162.90 = 202,165.76/x
  3. Step 3: Cross multiply
    657,693.14x = 986,162.90 × 202,165.76
  4. Step 4: Simplify right side
    657,693.14x = 199,368,372,162.30
  5. Step 5: Solve for x
    x = 199,368,372,162.30/657,693.14
  6. Step 6: Final answer
    x = 303,132.81

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1.5x scale

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.