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Finding the Fourth Proportional to 213,493.44, 320,239.74 and 200,502.66

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Solution

The fourth proportional to 213,493.44, 320,239.74 and 200,502.66 is: 300,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,493.44 : 320,239.74 = 200,502.66 : x
  2. Step 2: Convert to fraction form
    213,493.44/320,239.74 = 200,502.66/x
  3. Step 3: Cross multiply
    213,493.44x = 320,239.74 × 200,502.66
  4. Step 4: Simplify right side
    213,493.44x = 64,208,919,707.71
  5. Step 5: Solve for x
    x = 64,208,919,707.71/213,493.44
  6. Step 6: Final answer
    x = 300,753.60

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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.