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Finding the Fourth Proportional to 296,873.56, 410,227.98 and 216,160.48

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Solution

The fourth proportional to 296,873.56, 410,227.98 and 216,160.48 is: 298,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,873.56 : 410,227.98 = 216,160.48 : x
  2. Step 2: Convert to fraction form
    296,873.56/410,227.98 = 216,160.48/x
  3. Step 3: Cross multiply
    296,873.56x = 410,227.98 × 216,160.48
  4. Step 4: Simplify right side
    296,873.56x = 88,675,077,066.23
  5. Step 5: Solve for x
    x = 88,675,077,066.23/296,873.56
  6. Step 6: Final answer
    x = 298,696.45

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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.