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Finding the Fourth Proportional to 639,697.40, 957,463.02 and 471,151.40

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Solution

The fourth proportional to 639,697.40, 957,463.02 and 471,151.40 is: 705,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,697.40 : 957,463.02 = 471,151.40 : x
  2. Step 2: Convert to fraction form
    639,697.40/957,463.02 = 471,151.40/x
  3. Step 3: Cross multiply
    639,697.40x = 957,463.02 × 471,151.40
  4. Step 4: Simplify right side
    639,697.40x = 451,110,042,321.23
  5. Step 5: Solve for x
    x = 451,110,042,321.23/639,697.40
  6. Step 6: Final answer
    x = 705,192.87

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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.