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Finding the Fourth Proportional to 446,201.47, 669,160.32 and 146,612.71

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Solution

The fourth proportional to 446,201.47, 669,160.32 and 146,612.71 is: 219,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,201.47 : 669,160.32 = 146,612.71 : x
  2. Step 2: Convert to fraction form
    446,201.47/669,160.32 = 146,612.71/x
  3. Step 3: Cross multiply
    446,201.47x = 669,160.32 × 146,612.71
  4. Step 4: Simplify right side
    446,201.47x = 98,107,407,939.67
  5. Step 5: Solve for x
    x = 98,107,407,939.67/446,201.47
  6. Step 6: Final answer
    x = 219,872.44

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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.