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Finding the Fourth Proportional to 348,564.81, 522,836.29 and 191,778.78

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Solution

The fourth proportional to 348,564.81, 522,836.29 and 191,778.78 is: 287,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,564.81 : 522,836.29 = 191,778.78 : x
  2. Step 2: Convert to fraction form
    348,564.81/522,836.29 = 191,778.78/x
  3. Step 3: Cross multiply
    348,564.81x = 522,836.29 × 191,778.78
  4. Step 4: Simplify right side
    348,564.81x = 100,268,906,957.53
  5. Step 5: Solve for x
    x = 100,268,906,957.53/348,564.81
  6. Step 6: Final answer
    x = 287,662.16

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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.