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Finding the Fourth Proportional to 466,396.37, 699,239.02 and 146,363.66

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Solution

The fourth proportional to 466,396.37, 699,239.02 and 146,363.66 is: 219,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,396.37 : 699,239.02 = 146,363.66 : x
  2. Step 2: Convert to fraction form
    466,396.37/699,239.02 = 146,363.66/x
  3. Step 3: Cross multiply
    466,396.37x = 699,239.02 × 146,363.66
  4. Step 4: Simplify right side
    466,396.37x = 102,343,182,182.01
  5. Step 5: Solve for x
    x = 102,343,182,182.01/466,396.37
  6. Step 6: Final answer
    x = 219,433.92

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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.