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Finding the Fourth Proportional to 361,103.34, 498,316.48 and 199,954.93

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Solution

The fourth proportional to 361,103.34, 498,316.48 and 199,954.93 is: 275,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,103.34 : 498,316.48 = 199,954.93 : x
  2. Step 2: Convert to fraction form
    361,103.34/498,316.48 = 199,954.93/x
  3. Step 3: Cross multiply
    361,103.34x = 498,316.48 × 199,954.93
  4. Step 4: Simplify right side
    361,103.34x = 99,640,836,627.28
  5. Step 5: Solve for x
    x = 99,640,836,627.28/361,103.34
  6. Step 6: Final answer
    x = 275,934.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.