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Finding the Fourth Proportional to 306,591.42, 459,720.36 and 106,858.20

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Solution

The fourth proportional to 306,591.42, 459,720.36 and 106,858.20 is: 160,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,591.42 : 459,720.36 = 106,858.20 : x
  2. Step 2: Convert to fraction form
    306,591.42/459,720.36 = 106,858.20/x
  3. Step 3: Cross multiply
    306,591.42x = 459,720.36 × 106,858.20
  4. Step 4: Simplify right side
    306,591.42x = 49,124,890,172.95
  5. Step 5: Solve for x
    x = 49,124,890,172.95/306,591.42
  6. Step 6: Final answer
    x = 160,229.17

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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.