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Finding the Fourth Proportional to 510,549.82, 765,349.01 and 173,359.86

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Solution

The fourth proportional to 510,549.82, 765,349.01 and 173,359.86 is: 259,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,549.82 : 765,349.01 = 173,359.86 : x
  2. Step 2: Convert to fraction form
    510,549.82/765,349.01 = 173,359.86/x
  3. Step 3: Cross multiply
    510,549.82x = 765,349.01 × 173,359.86
  4. Step 4: Simplify right side
    510,549.82x = 132,680,797,224.74
  5. Step 5: Solve for x
    x = 132,680,797,224.74/510,549.82
  6. Step 6: Final answer
    x = 259,878.26

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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.