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Finding the Fourth Proportional to 361,095.78, 498,306 and 199,947.36

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Solution

The fourth proportional to 361,095.78, 498,306 and 199,947.36 is: 275,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,095.78 : 498,306 = 199,947.36 : x
  2. Step 2: Convert to fraction form
    361,095.78/498,306 = 199,947.36/x
  3. Step 3: Cross multiply
    361,095.78x = 498,306 × 199,947.36
  4. Step 4: Simplify right side
    361,095.78x = 99,634,969,172.16
  5. Step 5: Solve for x
    x = 99,634,969,172.16/361,095.78
  6. Step 6: Final answer
    x = 275,923.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.