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Finding the Fourth Proportional to 397,856.11, 596,778.36 and 98,336.72

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Solution

The fourth proportional to 397,856.11, 596,778.36 and 98,336.72 is: 147,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,856.11 : 596,778.36 = 98,336.72 : x
  2. Step 2: Convert to fraction form
    397,856.11/596,778.36 = 98,336.72/x
  3. Step 3: Cross multiply
    397,856.11x = 596,778.36 × 98,336.72
  4. Step 4: Simplify right side
    397,856.11x = 58,685,226,489.38
  5. Step 5: Solve for x
    x = 58,685,226,489.38/397,856.11
  6. Step 6: Final answer
    x = 147,503.65

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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.