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Finding the Fourth Proportional to 369,590.78, 510,034.83 and 199,824.50

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Solution

The fourth proportional to 369,590.78, 510,034.83 and 199,824.50 is: 275,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,590.78 : 510,034.83 = 199,824.50 : x
  2. Step 2: Convert to fraction form
    369,590.78/510,034.83 = 199,824.50/x
  3. Step 3: Cross multiply
    369,590.78x = 510,034.83 × 199,824.50
  4. Step 4: Simplify right side
    369,590.78x = 101,917,452,337.16
  5. Step 5: Solve for x
    x = 101,917,452,337.16/369,590.78
  6. Step 6: Final answer
    x = 275,757.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.