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Finding the Fourth Proportional to 304,216.74, 419,820.06 and 170,080.74

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Solution

The fourth proportional to 304,216.74, 419,820.06 and 170,080.74 is: 234,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,216.74 : 419,820.06 = 170,080.74 : x
  2. Step 2: Convert to fraction form
    304,216.74/419,820.06 = 170,080.74/x
  3. Step 3: Cross multiply
    304,216.74x = 419,820.06 × 170,080.74
  4. Step 4: Simplify right side
    304,216.74x = 71,403,306,471.64
  5. Step 5: Solve for x
    x = 71,403,306,471.64/304,216.74
  6. Step 6: Final answer
    x = 234,711.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.