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Finding the Fourth Proportional to 499,201.71, 748,040.61 and 296,398.46

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Solution

The fourth proportional to 499,201.71, 748,040.61 and 296,398.46 is: 444,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,201.71 : 748,040.61 = 296,398.46 : x
  2. Step 2: Convert to fraction form
    499,201.71/748,040.61 = 296,398.46/x
  3. Step 3: Cross multiply
    499,201.71x = 748,040.61 × 296,398.46
  4. Step 4: Simplify right side
    499,201.71x = 221,718,081,081.26
  5. Step 5: Solve for x
    x = 221,718,081,081.26/499,201.71
  6. Step 6: Final answer
    x = 444,145.28

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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.