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Finding the Fourth Proportional to 382,573.78, 527,955.86 and 210,494.00

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Solution

The fourth proportional to 382,573.78, 527,955.86 and 210,494.00 is: 290,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,573.78 : 527,955.86 = 210,494.00 : x
  2. Step 2: Convert to fraction form
    382,573.78/527,955.86 = 210,494.00/x
  3. Step 3: Cross multiply
    382,573.78x = 527,955.86 × 210,494.00
  4. Step 4: Simplify right side
    382,573.78x = 111,131,542,640.97
  5. Step 5: Solve for x
    x = 111,131,542,640.97/382,573.78
  6. Step 6: Final answer
    x = 290,483.95

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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.