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Finding the Fourth Proportional to 421,002.29, 580,991.51 and 230,027.53

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Solution

The fourth proportional to 421,002.29, 580,991.51 and 230,027.53 is: 317,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,002.29 : 580,991.51 = 230,027.53 : x
  2. Step 2: Convert to fraction form
    421,002.29/580,991.51 = 230,027.53/x
  3. Step 3: Cross multiply
    421,002.29x = 580,991.51 × 230,027.53
  4. Step 4: Simplify right side
    421,002.29x = 133,644,039,666.38
  5. Step 5: Solve for x
    x = 133,644,039,666.38/421,002.29
  6. Step 6: Final answer
    x = 317,442.55

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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.