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Finding the Fourth Proportional to 421,809.96, 582,073.38 and 230,827.08

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Solution

The fourth proportional to 421,809.96, 582,073.38 and 230,827.08 is: 318,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,809.96 : 582,073.38 = 230,827.08 : x
  2. Step 2: Convert to fraction form
    421,809.96/582,073.38 = 230,827.08/x
  3. Step 3: Cross multiply
    421,809.96x = 582,073.38 × 230,827.08
  4. Step 4: Simplify right side
    421,809.96x = 134,358,298,651.13
  5. Step 5: Solve for x
    x = 134,358,298,651.13/421,809.96
  6. Step 6: Final answer
    x = 318,528.04

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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.