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Finding the Fourth Proportional to 410,754.51, 616,201.82 and 183,132.72

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Solution

The fourth proportional to 410,754.51, 616,201.82 and 183,132.72 is: 274,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,754.51 : 616,201.82 = 183,132.72 : x
  2. Step 2: Convert to fraction form
    410,754.51/616,201.82 = 183,132.72/x
  3. Step 3: Cross multiply
    410,754.51x = 616,201.82 × 183,132.72
  4. Step 4: Simplify right side
    410,754.51x = 112,846,715,365.55
  5. Step 5: Solve for x
    x = 112,846,715,365.55/410,754.51
  6. Step 6: Final answer
    x = 274,730.31

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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.