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Finding the Fourth Proportional to 348,592.86, 522,863.78 and 198,361.76

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Solution

The fourth proportional to 348,592.86, 522,863.78 and 198,361.76 is: 297,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,592.86 : 522,863.78 = 198,361.76 : x
  2. Step 2: Convert to fraction form
    348,592.86/522,863.78 = 198,361.76/x
  3. Step 3: Cross multiply
    348,592.86x = 522,863.78 × 198,361.76
  4. Step 4: Simplify right side
    348,592.86x = 103,716,176,034.93
  5. Step 5: Solve for x
    x = 103,716,176,034.93/348,592.86
  6. Step 6: Final answer
    x = 297,528.11

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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.