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Finding the Fourth Proportional to 298,471.04, 411,869.24 and 169,412.15

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Solution

The fourth proportional to 298,471.04, 411,869.24 and 169,412.15 is: 233,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,471.04 : 411,869.24 = 169,412.15 : x
  2. Step 2: Convert to fraction form
    298,471.04/411,869.24 = 169,412.15/x
  3. Step 3: Cross multiply
    298,471.04x = 411,869.24 × 169,412.15
  4. Step 4: Simplify right side
    298,471.04x = 69,775,653,649.88
  5. Step 5: Solve for x
    x = 69,775,653,649.88/298,471.04
  6. Step 6: Final answer
    x = 233,776.97

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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.