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Finding the Fourth Proportional to 228,062.64, 314,814.24 and 204,147.12

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Solution

The fourth proportional to 228,062.64, 314,814.24 and 204,147.12 is: 281,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,062.64 : 314,814.24 = 204,147.12 : x
  2. Step 2: Convert to fraction form
    228,062.64/314,814.24 = 204,147.12/x
  3. Step 3: Cross multiply
    228,062.64x = 314,814.24 × 204,147.12
  4. Step 4: Simplify right side
    228,062.64x = 64,268,420,430.99
  5. Step 5: Solve for x
    x = 64,268,420,430.99/228,062.64
  6. Step 6: Final answer
    x = 281,801.62

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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.