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Finding the Fourth Proportional to 360,919.66, 498,056.42 and 199,775.02

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Solution

The fourth proportional to 360,919.66, 498,056.42 and 199,775.02 is: 275,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,919.66 : 498,056.42 = 199,775.02 : x
  2. Step 2: Convert to fraction form
    360,919.66/498,056.42 = 199,775.02/x
  3. Step 3: Cross multiply
    360,919.66x = 498,056.42 × 199,775.02
  4. Step 4: Simplify right side
    360,919.66x = 99,499,231,266.63
  5. Step 5: Solve for x
    x = 99,499,231,266.63/360,919.66
  6. Step 6: Final answer
    x = 275,682.49

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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.