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Finding the Fourth Proportional to 466,393.37, 699,234.53 and 146,360.66

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Solution

The fourth proportional to 466,393.37, 699,234.53 and 146,360.66 is: 219,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,393.37 : 699,234.53 = 146,360.66 : x
  2. Step 2: Convert to fraction form
    466,393.37/699,234.53 = 146,360.66/x
  3. Step 3: Cross multiply
    466,393.37x = 699,234.53 × 146,360.66
  4. Step 4: Simplify right side
    466,393.37x = 102,340,423,077.61
  5. Step 5: Solve for x
    x = 102,340,423,077.61/466,393.37
  6. Step 6: Final answer
    x = 219,429.41

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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.