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Finding the Fourth Proportional to 321,432, 482,244.36 and 96,799.74

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Solution

The fourth proportional to 321,432, 482,244.36 and 96,799.74 is: 145,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,432 : 482,244.36 = 96,799.74 : x
  2. Step 2: Convert to fraction form
    321,432/482,244.36 = 96,799.74/x
  3. Step 3: Cross multiply
    321,432x = 482,244.36 × 96,799.74
  4. Step 4: Simplify right side
    321,432x = 46,681,128,664.47
  5. Step 5: Solve for x
    x = 46,681,128,664.47/321,432
  6. Step 6: Final answer
    x = 145,228.63

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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.