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Finding the Fourth Proportional to 374,462.54, 516,758.56 and 204,696.71

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Solution

The fourth proportional to 374,462.54, 516,758.56 and 204,696.71 is: 282,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,462.54 : 516,758.56 = 204,696.71 : x
  2. Step 2: Convert to fraction form
    374,462.54/516,758.56 = 204,696.71/x
  3. Step 3: Cross multiply
    374,462.54x = 516,758.56 × 204,696.71
  4. Step 4: Simplify right side
    374,462.54x = 105,778,774,000.80
  5. Step 5: Solve for x
    x = 105,778,774,000.80/374,462.54
  6. Step 6: Final answer
    x = 282,481.59

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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.