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Finding the Fourth Proportional to 361,056.78, 498,273.90 and 199,911.80

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Solution

The fourth proportional to 361,056.78, 498,273.90 and 199,911.80 is: 275,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,056.78 : 498,273.90 = 199,911.80 : x
  2. Step 2: Convert to fraction form
    361,056.78/498,273.90 = 199,911.80/x
  3. Step 3: Cross multiply
    361,056.78x = 498,273.90 × 199,911.80
  4. Step 4: Simplify right side
    361,056.78x = 99,610,832,242.02
  5. Step 5: Solve for x
    x = 99,610,832,242.02/361,056.78
  6. Step 6: Final answer
    x = 275,886.89

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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.