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Finding the Fourth Proportional to 348,546.80, 522,893.10 and 111,913.40

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Solution

The fourth proportional to 348,546.80, 522,893.10 and 111,913.40 is: 167,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,546.80 : 522,893.10 = 111,913.40 : x
  2. Step 2: Convert to fraction form
    348,546.80/522,893.10 = 111,913.40/x
  3. Step 3: Cross multiply
    348,546.80x = 522,893.10 × 111,913.40
  4. Step 4: Simplify right side
    348,546.80x = 58,518,744,657.54
  5. Step 5: Solve for x
    x = 58,518,744,657.54/348,546.80
  6. Step 6: Final answer
    x = 167,893.51

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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.