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Finding the Fourth Proportional to 534,807.74, 738,022.92 and 293,085.20

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Solution

The fourth proportional to 534,807.74, 738,022.92 and 293,085.20 is: 404,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,807.74 : 738,022.92 = 293,085.20 : x
  2. Step 2: Convert to fraction form
    534,807.74/738,022.92 = 293,085.20/x
  3. Step 3: Cross multiply
    534,807.74x = 738,022.92 × 293,085.20
  4. Step 4: Simplify right side
    534,807.74x = 216,303,595,112.78
  5. Step 5: Solve for x
    x = 216,303,595,112.78/534,807.74
  6. Step 6: Final answer
    x = 404,451.13

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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.