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Finding the Fourth Proportional to 548,808.42, 823,008.02 and 188,878.70

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Solution

The fourth proportional to 548,808.42, 823,008.02 and 188,878.70 is: 283,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,808.42 : 823,008.02 = 188,878.70 : x
  2. Step 2: Convert to fraction form
    548,808.42/823,008.02 = 188,878.70/x
  3. Step 3: Cross multiply
    548,808.42x = 823,008.02 × 188,878.70
  4. Step 4: Simplify right side
    548,808.42x = 155,448,684,907.17
  5. Step 5: Solve for x
    x = 155,448,684,907.17/548,808.42
  6. Step 6: Final answer
    x = 283,247.63

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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.