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Finding the Fourth Proportional to 361,405.20, 542,107.80 and 193,443.60

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Solution

The fourth proportional to 361,405.20, 542,107.80 and 193,443.60 is: 290,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,405.20 : 542,107.80 = 193,443.60 : x
  2. Step 2: Convert to fraction form
    361,405.20/542,107.80 = 193,443.60/x
  3. Step 3: Cross multiply
    361,405.20x = 542,107.80 × 193,443.60
  4. Step 4: Simplify right side
    361,405.20x = 104,867,284,420.08
  5. Step 5: Solve for x
    x = 104,867,284,420.08/361,405.20
  6. Step 6: Final answer
    x = 290,165.40

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1.5x scale

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.