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Finding the Fourth Proportional to 510,379.38, 765,569.34 and 229,568.58

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Solution

The fourth proportional to 510,379.38, 765,569.34 and 229,568.58 is: 344,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,379.38 : 765,569.34 = 229,568.58 : x
  2. Step 2: Convert to fraction form
    510,379.38/765,569.34 = 229,568.58/x
  3. Step 3: Cross multiply
    510,379.38x = 765,569.34 × 229,568.58
  4. Step 4: Simplify right side
    510,379.38x = 175,750,666,275.34
  5. Step 5: Solve for x
    x = 175,750,666,275.34/510,379.38
  6. Step 6: Final answer
    x = 344,352.99

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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.