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Finding the Fourth Proportional to 397,822.86, 596,718.11 and 98,295.90

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Solution

The fourth proportional to 397,822.86, 596,718.11 and 98,295.90 is: 147,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,822.86 : 596,718.11 = 98,295.90 : x
  2. Step 2: Convert to fraction form
    397,822.86/596,718.11 = 98,295.90/x
  3. Step 3: Cross multiply
    397,822.86x = 596,718.11 × 98,295.90
  4. Step 4: Simplify right side
    397,822.86x = 58,654,942,054.08
  5. Step 5: Solve for x
    x = 58,654,942,054.08/397,822.86
  6. Step 6: Final answer
    x = 147,439.85

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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.