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Finding the Fourth Proportional to 226,494.40, 339,741.60 and 160,009.60

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Solution

The fourth proportional to 226,494.40, 339,741.60 and 160,009.60 is: 240,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,494.40 : 339,741.60 = 160,009.60 : x
  2. Step 2: Convert to fraction form
    226,494.40/339,741.60 = 160,009.60/x
  3. Step 3: Cross multiply
    226,494.40x = 339,741.60 × 160,009.60
  4. Step 4: Simplify right side
    226,494.40x = 54,361,917,519.36
  5. Step 5: Solve for x
    x = 54,361,917,519.36/226,494.40
  6. Step 6: Final answer
    x = 240,014.40

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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.