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Finding the Fourth Proportional to 306,568.97, 459,970.50 and 119,595.05

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Solution

The fourth proportional to 306,568.97, 459,970.50 and 119,595.05 is: 179,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,568.97 : 459,970.50 = 119,595.05 : x
  2. Step 2: Convert to fraction form
    306,568.97/459,970.50 = 119,595.05/x
  3. Step 3: Cross multiply
    306,568.97x = 459,970.50 × 119,595.05
  4. Step 4: Simplify right side
    306,568.97x = 55,010,194,146.82
  5. Step 5: Solve for x
    x = 55,010,194,146.82/306,568.97
  6. Step 6: Final answer
    x = 179,438.23

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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.