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Finding the Fourth Proportional to 466,453.26, 699,698.10 and 146,823.20

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Solution

The fourth proportional to 466,453.26, 699,698.10 and 146,823.20 is: 220,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,453.26 : 699,698.10 = 146,823.20 : x
  2. Step 2: Convert to fraction form
    466,453.26/699,698.10 = 146,823.20/x
  3. Step 3: Cross multiply
    466,453.26x = 699,698.10 × 146,823.20
  4. Step 4: Simplify right side
    466,453.26x = 102,731,914,075.92
  5. Step 5: Solve for x
    x = 102,731,914,075.92/466,453.26
  6. Step 6: Final answer
    x = 220,240.53

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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.