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Finding the Fourth Proportional to 510,448.92, 765,743.43 and 173,399.10

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Solution

The fourth proportional to 510,448.92, 765,743.43 and 173,399.10 is: 260,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,448.92 : 765,743.43 = 173,399.10 : x
  2. Step 2: Convert to fraction form
    510,448.92/765,743.43 = 173,399.10/x
  3. Step 3: Cross multiply
    510,448.92x = 765,743.43 × 173,399.10
  4. Step 4: Simplify right side
    510,448.92x = 132,779,221,592.91
  5. Step 5: Solve for x
    x = 132,779,221,592.91/510,448.92
  6. Step 6: Final answer
    x = 260,122.45

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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.