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Finding the Fourth Proportional to 348,511.17, 522,797.94 and 135,274.08

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Solution

The fourth proportional to 348,511.17, 522,797.94 and 135,274.08 is: 202,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,511.17 : 522,797.94 = 135,274.08 : x
  2. Step 2: Convert to fraction form
    348,511.17/522,797.94 = 135,274.08/x
  3. Step 3: Cross multiply
    348,511.17x = 522,797.94 × 135,274.08
  4. Step 4: Simplify right side
    348,511.17x = 70,721,010,359.40
  5. Step 5: Solve for x
    x = 70,721,010,359.40/348,511.17
  6. Step 6: Final answer
    x = 202,923.22

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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.