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Finding the Fourth Proportional to 311,493.78, 429,895.08 and 190,716.30

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Solution

The fourth proportional to 311,493.78, 429,895.08 and 190,716.30 is: 263,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,493.78 : 429,895.08 = 190,716.30 : x
  2. Step 2: Convert to fraction form
    311,493.78/429,895.08 = 190,716.30/x
  3. Step 3: Cross multiply
    311,493.78x = 429,895.08 × 190,716.30
  4. Step 4: Simplify right side
    311,493.78x = 81,987,999,045.80
  5. Step 5: Solve for x
    x = 81,987,999,045.80/311,493.78
  6. Step 6: Final answer
    x = 263,209.10

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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.