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Finding the Fourth Proportional to 466,536.42, 699,915.68 and 150,993.32

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Solution

The fourth proportional to 466,536.42, 699,915.68 and 150,993.32 is: 226,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,536.42 : 699,915.68 = 150,993.32 : x
  2. Step 2: Convert to fraction form
    466,536.42/699,915.68 = 150,993.32/x
  3. Step 3: Cross multiply
    466,536.42x = 699,915.68 × 150,993.32
  4. Step 4: Simplify right side
    466,536.42x = 105,682,587,988.71
  5. Step 5: Solve for x
    x = 105,682,587,988.71/466,536.42
  6. Step 6: Final answer
    x = 226,525.91

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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.