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Finding the Fourth Proportional to 510,283.28, 765,394.16 and 225,890.58

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Solution

The fourth proportional to 510,283.28, 765,394.16 and 225,890.58 is: 338,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,283.28 : 765,394.16 = 225,890.58 : x
  2. Step 2: Convert to fraction form
    510,283.28/765,394.16 = 225,890.58/x
  3. Step 3: Cross multiply
    510,283.28x = 765,394.16 × 225,890.58
  4. Step 4: Simplify right side
    510,283.28x = 172,895,329,601.56
  5. Step 5: Solve for x
    x = 172,895,329,601.56/510,283.28
  6. Step 6: Final answer
    x = 338,822.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.