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Finding the Fourth Proportional to 512,714.79, 769,074.08 and 157,726.35

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Solution

The fourth proportional to 512,714.79, 769,074.08 and 157,726.35 is: 236,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,714.79 : 769,074.08 = 157,726.35 : x
  2. Step 2: Convert to fraction form
    512,714.79/769,074.08 = 157,726.35/x
  3. Step 3: Cross multiply
    512,714.79x = 769,074.08 × 157,726.35
  4. Step 4: Simplify right side
    512,714.79x = 121,303,246,729.38
  5. Step 5: Solve for x
    x = 121,303,246,729.38/512,714.79
  6. Step 6: Final answer
    x = 236,590.11

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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.