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Finding the Fourth Proportional to 332,894.48, 499,467.40 and 199,867.46

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Solution

The fourth proportional to 332,894.48, 499,467.40 and 199,867.46 is: 299,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,894.48 : 499,467.40 = 199,867.46 : x
  2. Step 2: Convert to fraction form
    332,894.48/499,467.40 = 199,867.46/x
  3. Step 3: Cross multiply
    332,894.48x = 499,467.40 × 199,867.46
  4. Step 4: Simplify right side
    332,894.48x = 99,827,280,590.80
  5. Step 5: Solve for x
    x = 99,827,280,590.80/332,894.48
  6. Step 6: Final answer
    x = 299,876.65

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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.