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Finding the Fourth Proportional to 314,002.64, 433,104.09 and 206,538.32

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Solution

The fourth proportional to 314,002.64, 433,104.09 and 206,538.32 is: 284,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,002.64 : 433,104.09 = 206,538.32 : x
  2. Step 2: Convert to fraction form
    314,002.64/433,104.09 = 206,538.32/x
  3. Step 3: Cross multiply
    314,002.64x = 433,104.09 × 206,538.32
  4. Step 4: Simplify right side
    314,002.64x = 89,452,591,133.73
  5. Step 5: Solve for x
    x = 89,452,591,133.73/314,002.64
  6. Step 6: Final answer
    x = 284,878.47

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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.