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Finding the Fourth Proportional to 522,477.38, 721,027.02 and 293,085.66

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Solution

The fourth proportional to 522,477.38, 721,027.02 and 293,085.66 is: 404,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,477.38 : 721,027.02 = 293,085.66 : x
  2. Step 2: Convert to fraction form
    522,477.38/721,027.02 = 293,085.66/x
  3. Step 3: Cross multiply
    522,477.38x = 721,027.02 × 293,085.66
  4. Step 4: Simplify right side
    522,477.38x = 211,322,680,034.53
  5. Step 5: Solve for x
    x = 211,322,680,034.53/522,477.38
  6. Step 6: Final answer
    x = 404,462.83

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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.