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Finding the Fourth Proportional to 638,122.56, 957,149.28 and 194,856

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Solution

The fourth proportional to 638,122.56, 957,149.28 and 194,856 is: 292,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,122.56 : 957,149.28 = 194,856 : x
  2. Step 2: Convert to fraction form
    638,122.56/957,149.28 = 194,856/x
  3. Step 3: Cross multiply
    638,122.56x = 957,149.28 × 194,856
  4. Step 4: Simplify right side
    638,122.56x = 186,506,280,103.68
  5. Step 5: Solve for x
    x = 186,506,280,103.68/638,122.56
  6. Step 6: Final answer
    x = 292,273.45

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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.