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Finding the Fourth Proportional to 446,282.68, 669,445.52 and 146,756.60

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Solution

The fourth proportional to 446,282.68, 669,445.52 and 146,756.60 is: 220,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,282.68 : 669,445.52 = 146,756.60 : x
  2. Step 2: Convert to fraction form
    446,282.68/669,445.52 = 146,756.60/x
  3. Step 3: Cross multiply
    446,282.68x = 669,445.52 × 146,756.60
  4. Step 4: Simplify right side
    446,282.68x = 98,245,548,400.43
  5. Step 5: Solve for x
    x = 98,245,548,400.43/446,282.68
  6. Step 6: Final answer
    x = 220,141.97

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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.