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Finding the Fourth Proportional to 508,097.33, 701,123.81 and 293,306.59

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Solution

The fourth proportional to 508,097.33, 701,123.81 and 293,306.59 is: 404,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,097.33 : 701,123.81 = 293,306.59 : x
  2. Step 2: Convert to fraction form
    508,097.33/701,123.81 = 293,306.59/x
  3. Step 3: Cross multiply
    508,097.33x = 701,123.81 × 293,306.59
  4. Step 4: Simplify right side
    508,097.33x = 205,644,230,659.57
  5. Step 5: Solve for x
    x = 205,644,230,659.57/508,097.33
  6. Step 6: Final answer
    x = 404,733.94

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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.