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Finding the Fourth Proportional to 507,993.12, 762,137.64 and 227,444.76

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Solution

The fourth proportional to 507,993.12, 762,137.64 and 227,444.76 is: 341,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,993.12 : 762,137.64 = 227,444.76 : x
  2. Step 2: Convert to fraction form
    507,993.12/762,137.64 = 227,444.76/x
  3. Step 3: Cross multiply
    507,993.12x = 762,137.64 × 227,444.76
  4. Step 4: Simplify right side
    507,993.12x = 173,344,212,616.77
  5. Step 5: Solve for x
    x = 173,344,212,616.77/507,993.12
  6. Step 6: Final answer
    x = 341,233.39

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.