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Finding the Fourth Proportional to 361,104, 498,317.39 and 199,955.60

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Solution

The fourth proportional to 361,104, 498,317.39 and 199,955.60 is: 275,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104 : 498,317.39 = 199,955.60 : x
  2. Step 2: Convert to fraction form
    361,104/498,317.39 = 199,955.60/x
  3. Step 3: Cross multiply
    361,104x = 498,317.39 × 199,955.60
  4. Step 4: Simplify right side
    361,104x = 99,641,349,216.52
  5. Step 5: Solve for x
    x = 99,641,349,216.52/361,104
  6. Step 6: Final answer
    x = 275,935.32

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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.