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Finding the Fourth Proportional to 306,521.20, 459,781.80 and 106,775.20

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Solution

The fourth proportional to 306,521.20, 459,781.80 and 106,775.20 is: 160,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,521.20 : 459,781.80 = 106,775.20 : x
  2. Step 2: Convert to fraction form
    306,521.20/459,781.80 = 106,775.20/x
  3. Step 3: Cross multiply
    306,521.20x = 459,781.80 × 106,775.20
  4. Step 4: Simplify right side
    306,521.20x = 49,093,293,651.36
  5. Step 5: Solve for x
    x = 49,093,293,651.36/306,521.20
  6. Step 6: Final answer
    x = 160,162.80

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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.