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Finding the Fourth Proportional to 420,992.16, 580,977.54 and 230,017.38

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Solution

The fourth proportional to 420,992.16, 580,977.54 and 230,017.38 is: 317,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,992.16 : 580,977.54 = 230,017.38 : x
  2. Step 2: Convert to fraction form
    420,992.16/580,977.54 = 230,017.38/x
  3. Step 3: Cross multiply
    420,992.16x = 580,977.54 × 230,017.38
  4. Step 4: Simplify right side
    420,992.16x = 133,634,931,589.65
  5. Step 5: Solve for x
    x = 133,634,931,589.65/420,992.16
  6. Step 6: Final answer
    x = 317,428.55

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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.