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Finding the Fourth Proportional to 361,393.58, 498,722.65 and 200,259.06

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Solution

The fourth proportional to 361,393.58, 498,722.65 and 200,259.06 is: 276,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,393.58 : 498,722.65 = 200,259.06 : x
  2. Step 2: Convert to fraction form
    361,393.58/498,722.65 = 200,259.06/x
  3. Step 3: Cross multiply
    361,393.58x = 498,722.65 × 200,259.06
  4. Step 4: Simplify right side
    361,393.58x = 99,873,729,089.71
  5. Step 5: Solve for x
    x = 99,873,729,089.71/361,393.58
  6. Step 6: Final answer
    x = 276,357.23

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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.