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Finding the Fourth Proportional to 314,102.88, 433,473.30 and 179,992.80

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Solution

The fourth proportional to 314,102.88, 433,473.30 and 179,992.80 is: 248,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,102.88 : 433,473.30 = 179,992.80 : x
  2. Step 2: Convert to fraction form
    314,102.88/433,473.30 = 179,992.80/x
  3. Step 3: Cross multiply
    314,102.88x = 433,473.30 × 179,992.80
  4. Step 4: Simplify right side
    314,102.88x = 78,022,072,992.24
  5. Step 5: Solve for x
    x = 78,022,072,992.24/314,102.88
  6. Step 6: Final answer
    x = 248,396.55

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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.