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Finding the Fourth Proportional to 348,510.80, 522,766.20 and 208,542.80

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Solution

The fourth proportional to 348,510.80, 522,766.20 and 208,542.80 is: 312,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,510.80 : 522,766.20 = 208,542.80 : x
  2. Step 2: Convert to fraction form
    348,510.80/522,766.20 = 208,542.80/x
  3. Step 3: Cross multiply
    348,510.80x = 522,766.20 × 208,542.80
  4. Step 4: Simplify right side
    348,510.80x = 109,019,127,093.36
  5. Step 5: Solve for x
    x = 109,019,127,093.36/348,510.80
  6. Step 6: Final answer
    x = 312,814.20

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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.