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Finding the Fourth Proportional to 367,611.69, 507,306.16 and 206,466.76

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Solution

The fourth proportional to 367,611.69, 507,306.16 and 206,466.76 is: 284,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,611.69 : 507,306.16 = 206,466.76 : x
  2. Step 2: Convert to fraction form
    367,611.69/507,306.16 = 206,466.76/x
  3. Step 3: Cross multiply
    367,611.69x = 507,306.16 × 206,466.76
  4. Step 4: Simplify right side
    367,611.69x = 104,741,859,183.24
  5. Step 5: Solve for x
    x = 104,741,859,183.24/367,611.69
  6. Step 6: Final answer
    x = 284,925.27

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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.