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Finding the Fourth Proportional to 466,395.37, 699,237.52 and 146,362.66

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Solution

The fourth proportional to 466,395.37, 699,237.52 and 146,362.66 is: 219,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,395.37 : 699,237.52 = 146,362.66 : x
  2. Step 2: Convert to fraction form
    466,395.37/699,237.52 = 146,362.66/x
  3. Step 3: Cross multiply
    466,395.37x = 699,237.52 × 146,362.66
  4. Step 4: Simplify right side
    466,395.37x = 102,342,263,399.00
  5. Step 5: Solve for x
    x = 102,342,263,399.00/466,395.37
  6. Step 6: Final answer
    x = 219,432.42

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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.