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Finding the Fourth Proportional to 322,009.21, 482,476.51 and 141,826.33

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Solution

The fourth proportional to 322,009.21, 482,476.51 and 141,826.33 is: 212,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,009.21 : 482,476.51 = 141,826.33 : x
  2. Step 2: Convert to fraction form
    322,009.21/482,476.51 = 141,826.33/x
  3. Step 3: Cross multiply
    322,009.21x = 482,476.51 × 141,826.33
  4. Step 4: Simplify right side
    322,009.21x = 68,427,872,724.51
  5. Step 5: Solve for x
    x = 68,427,872,724.51/322,009.21
  6. Step 6: Final answer
    x = 212,502.84

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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.