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Finding the Fourth Proportional to 301,541.72, 416,181.30 and 225,442.76

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Solution

The fourth proportional to 301,541.72, 416,181.30 and 225,442.76 is: 311,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,541.72 : 416,181.30 = 225,442.76 : x
  2. Step 2: Convert to fraction form
    301,541.72/416,181.30 = 225,442.76/x
  3. Step 3: Cross multiply
    301,541.72x = 416,181.30 × 225,442.76
  4. Step 4: Simplify right side
    301,541.72x = 93,825,060,932.39
  5. Step 5: Solve for x
    x = 93,825,060,932.39/301,541.72
  6. Step 6: Final answer
    x = 311,151.18

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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.