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Finding the Fourth Proportional to 207,924.74, 311,728.52 and 172,276.64

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Solution

The fourth proportional to 207,924.74, 311,728.52 and 172,276.64 is: 258,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,924.74 : 311,728.52 = 172,276.64 : x
  2. Step 2: Convert to fraction form
    207,924.74/311,728.52 = 172,276.64/x
  3. Step 3: Cross multiply
    207,924.74x = 311,728.52 × 172,276.64
  4. Step 4: Simplify right side
    207,924.74x = 53,703,542,017.77
  5. Step 5: Solve for x
    x = 53,703,542,017.77/207,924.74
  6. Step 6: Final answer
    x = 258,283.56

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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.