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Finding the Fourth Proportional to 353,786.10, 529,870.71 and 277,711.48

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Solution

The fourth proportional to 353,786.10, 529,870.71 and 277,711.48 is: 415,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,786.10 : 529,870.71 = 277,711.48 : x
  2. Step 2: Convert to fraction form
    353,786.10/529,870.71 = 277,711.48/x
  3. Step 3: Cross multiply
    353,786.10x = 529,870.71 × 277,711.48
  4. Step 4: Simplify right side
    353,786.10x = 147,151,175,044.84
  5. Step 5: Solve for x
    x = 147,151,175,044.84/353,786.10
  6. Step 6: Final answer
    x = 415,932.61

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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.