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Finding the Fourth Proportional to 367,091.78, 506,556.87 and 205,924.46

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Solution

The fourth proportional to 367,091.78, 506,556.87 and 205,924.46 is: 284,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,091.78 : 506,556.87 = 205,924.46 : x
  2. Step 2: Convert to fraction form
    367,091.78/506,556.87 = 205,924.46/x
  3. Step 3: Cross multiply
    367,091.78x = 506,556.87 × 205,924.46
  4. Step 4: Simplify right side
    367,091.78x = 104,312,449,914.04
  5. Step 5: Solve for x
    x = 104,312,449,914.04/367,091.78
  6. Step 6: Final answer
    x = 284,159.05

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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.