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Finding the Fourth Proportional to 466,395.06, 699,237.06 and 146,362.34

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Solution

The fourth proportional to 466,395.06, 699,237.06 and 146,362.34 is: 219,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,395.06 : 699,237.06 = 146,362.34 : x
  2. Step 2: Convert to fraction form
    466,395.06/699,237.06 = 146,362.34/x
  3. Step 3: Cross multiply
    466,395.06x = 699,237.06 × 146,362.34
  4. Step 4: Simplify right side
    466,395.06x = 102,341,973,515.55
  5. Step 5: Solve for x
    x = 102,341,973,515.55/466,395.06
  6. Step 6: Final answer
    x = 219,431.94

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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.