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Finding the Fourth Proportional to 298,314.66, 411,581.34 and 169,231.72

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Solution

The fourth proportional to 298,314.66, 411,581.34 and 169,231.72 is: 233,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,314.66 : 411,581.34 = 169,231.72 : x
  2. Step 2: Convert to fraction form
    298,314.66/411,581.34 = 169,231.72/x
  3. Step 3: Cross multiply
    298,314.66x = 411,581.34 × 169,231.72
  4. Step 4: Simplify right side
    298,314.66x = 69,652,618,088.10
  5. Step 5: Solve for x
    x = 69,652,618,088.10/298,314.66
  6. Step 6: Final answer
    x = 233,487.08

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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.