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Finding the Fourth Proportional to 446,548.80, 669,628.80 and 146,913.60

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Solution

The fourth proportional to 446,548.80, 669,628.80 and 146,913.60 is: 220,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,548.80 : 669,628.80 = 146,913.60 : x
  2. Step 2: Convert to fraction form
    446,548.80/669,628.80 = 146,913.60/x
  3. Step 3: Cross multiply
    446,548.80x = 669,628.80 × 146,913.60
  4. Step 4: Simplify right side
    446,548.80x = 98,377,577,671.68
  5. Step 5: Solve for x
    x = 98,377,577,671.68/446,548.80
  6. Step 6: Final answer
    x = 220,306.44

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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.