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Finding the Fourth Proportional to 290,532.39, 400,972.15 and 163,232.59

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Solution

The fourth proportional to 290,532.39, 400,972.15 and 163,232.59 is: 225,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,532.39 : 400,972.15 = 163,232.59 : x
  2. Step 2: Convert to fraction form
    290,532.39/400,972.15 = 163,232.59/x
  3. Step 3: Cross multiply
    290,532.39x = 400,972.15 × 163,232.59
  4. Step 4: Simplify right side
    290,532.39x = 65,451,720,557.51
  5. Step 5: Solve for x
    x = 65,451,720,557.51/290,532.39
  6. Step 6: Final answer
    x = 225,282.01

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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.