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Finding the Fourth Proportional to 510,358.04, 704,371.50 and 306,521.52

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Solution

The fourth proportional to 510,358.04, 704,371.50 and 306,521.52 is: 423,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,358.04 : 704,371.50 = 306,521.52 : x
  2. Step 2: Convert to fraction form
    510,358.04/704,371.50 = 306,521.52/x
  3. Step 3: Cross multiply
    510,358.04x = 704,371.50 × 306,521.52
  4. Step 4: Simplify right side
    510,358.04x = 215,905,022,824.68
  5. Step 5: Solve for x
    x = 215,905,022,824.68/510,358.04
  6. Step 6: Final answer
    x = 423,046.19

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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.