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Finding the Fourth Proportional to 412,148.88, 568,774.80 and 230,874.12

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Solution

The fourth proportional to 412,148.88, 568,774.80 and 230,874.12 is: 318,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,148.88 : 568,774.80 = 230,874.12 : x
  2. Step 2: Convert to fraction form
    412,148.88/568,774.80 = 230,874.12/x
  3. Step 3: Cross multiply
    412,148.88x = 568,774.80 × 230,874.12
  4. Step 4: Simplify right side
    412,148.88x = 131,315,381,428.18
  5. Step 5: Solve for x
    x = 131,315,381,428.18/412,148.88
  6. Step 6: Final answer
    x = 318,611.52

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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.