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Finding the Fourth Proportional to 522,475.38, 721,024.27 and 293,083.65

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Solution

The fourth proportional to 522,475.38, 721,024.27 and 293,083.65 is: 404,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,475.38 : 721,024.27 = 293,083.65 : x
  2. Step 2: Convert to fraction form
    522,475.38/721,024.27 = 293,083.65/x
  3. Step 3: Cross multiply
    522,475.38x = 721,024.27 × 293,083.65
  4. Step 4: Simplify right side
    522,475.38x = 211,320,424,057.48
  5. Step 5: Solve for x
    x = 211,320,424,057.48/522,475.38
  6. Step 6: Final answer
    x = 404,460.06

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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.