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Finding the Fourth Proportional to 306,049.40, 459,074.10 and 81,409.40

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Solution

The fourth proportional to 306,049.40, 459,074.10 and 81,409.40 is: 122,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,049.40 : 459,074.10 = 81,409.40 : x
  2. Step 2: Convert to fraction form
    306,049.40/459,074.10 = 81,409.40/x
  3. Step 3: Cross multiply
    306,049.40x = 459,074.10 × 81,409.40
  4. Step 4: Simplify right side
    306,049.40x = 37,372,947,036.54
  5. Step 5: Solve for x
    x = 37,372,947,036.54/306,049.40
  6. Step 6: Final answer
    x = 122,114.10

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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.