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Finding the Fourth Proportional to 314,249.85, 433,668.83 and 171,013.77

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Solution

The fourth proportional to 314,249.85, 433,668.83 and 171,013.77 is: 236,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,249.85 : 433,668.83 = 171,013.77 : x
  2. Step 2: Convert to fraction form
    314,249.85/433,668.83 = 171,013.77/x
  3. Step 3: Cross multiply
    314,249.85x = 433,668.83 × 171,013.77
  4. Step 4: Simplify right side
    314,249.85x = 74,163,340,694.72
  5. Step 5: Solve for x
    x = 74,163,340,694.72/314,249.85
  6. Step 6: Final answer
    x = 236,001.20

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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.