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Finding the Fourth Proportional to 314,469.16, 433,961.22 and 171,230.92

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Solution

The fourth proportional to 314,469.16, 433,961.22 and 171,230.92 is: 236,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,469.16 : 433,961.22 = 171,230.92 : x
  2. Step 2: Convert to fraction form
    314,469.16/433,961.22 = 171,230.92/x
  3. Step 3: Cross multiply
    314,469.16x = 433,961.22 × 171,230.92
  4. Step 4: Simplify right side
    314,469.16x = 74,307,578,944.92
  5. Step 5: Solve for x
    x = 74,307,578,944.92/314,469.16
  6. Step 6: Final answer
    x = 236,295.28

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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.