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Finding the Fourth Proportional to 298,230.24, 411,565.32 and 162,271.56

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Solution

The fourth proportional to 298,230.24, 411,565.32 and 162,271.56 is: 223,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,230.24 : 411,565.32 = 162,271.56 : x
  2. Step 2: Convert to fraction form
    298,230.24/411,565.32 = 162,271.56/x
  3. Step 3: Cross multiply
    298,230.24x = 411,565.32 × 162,271.56
  4. Step 4: Simplify right side
    298,230.24x = 66,785,346,518.30
  5. Step 5: Solve for x
    x = 66,785,346,518.30/298,230.24
  6. Step 6: Final answer
    x = 223,938.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.