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Finding the Fourth Proportional to 207,896.30, 311,407.05 and 172,904.30

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Solution

The fourth proportional to 207,896.30, 311,407.05 and 172,904.30 is: 258,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,896.30 : 311,407.05 = 172,904.30 : x
  2. Step 2: Convert to fraction form
    207,896.30/311,407.05 = 172,904.30/x
  3. Step 3: Cross multiply
    207,896.30x = 311,407.05 × 172,904.30
  4. Step 4: Simplify right side
    207,896.30x = 53,843,617,995.32
  5. Step 5: Solve for x
    x = 53,843,617,995.32/207,896.30
  6. Step 6: Final answer
    x = 258,992.67

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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.