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Finding the Fourth Proportional to 508,096.97, 701,123.27 and 293,306.23

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Solution

The fourth proportional to 508,096.97, 701,123.27 and 293,306.23 is: 404,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,096.97 : 701,123.27 = 293,306.23 : x
  2. Step 2: Convert to fraction form
    508,096.97/701,123.27 = 293,306.23/x
  3. Step 3: Cross multiply
    508,096.97x = 701,123.27 × 293,306.23
  4. Step 4: Simplify right side
    508,096.97x = 205,643,822,069.43
  5. Step 5: Solve for x
    x = 205,643,822,069.43/508,096.97
  6. Step 6: Final answer
    x = 404,733.42

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Double scale
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1.5x scale

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.