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Finding the Fourth Proportional to 510,524.34, 765,838.89 and 195,246.42

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Solution

The fourth proportional to 510,524.34, 765,838.89 and 195,246.42 is: 292,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,524.34 : 765,838.89 = 195,246.42 : x
  2. Step 2: Convert to fraction form
    510,524.34/765,838.89 = 195,246.42/x
  3. Step 3: Cross multiply
    510,524.34x = 765,838.89 × 195,246.42
  4. Step 4: Simplify right side
    510,524.34x = 149,527,301,569.27
  5. Step 5: Solve for x
    x = 149,527,301,569.27/510,524.34
  6. Step 6: Final answer
    x = 292,889.66

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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.