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Finding the Fourth Proportional to 306,288.72, 459,427.32 and 166,934.16

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Solution

The fourth proportional to 306,288.72, 459,427.32 and 166,934.16 is: 250,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288.72 : 459,427.32 = 166,934.16 : x
  2. Step 2: Convert to fraction form
    306,288.72/459,427.32 = 166,934.16/x
  3. Step 3: Cross multiply
    306,288.72x = 459,427.32 × 166,934.16
  4. Step 4: Simplify right side
    306,288.72x = 76,694,113,745.25
  5. Step 5: Solve for x
    x = 76,694,113,745.25/306,288.72
  6. Step 6: Final answer
    x = 250,398.10

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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.