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Finding the Fourth Proportional to 314,309.36, 433,756.11 and 171,078.68

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Solution

The fourth proportional to 314,309.36, 433,756.11 and 171,078.68 is: 236,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,309.36 : 433,756.11 = 171,078.68 : x
  2. Step 2: Convert to fraction form
    314,309.36/433,756.11 = 171,078.68/x
  3. Step 3: Cross multiply
    314,309.36x = 433,756.11 × 171,078.68
  4. Step 4: Simplify right side
    314,309.36x = 74,206,422,740.73
  5. Step 5: Solve for x
    x = 74,206,422,740.73/314,309.36
  6. Step 6: Final answer
    x = 236,093.58

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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.