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Finding the Fourth Proportional to 331,078.54, 456,856.74 and 185,851.06

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Solution

The fourth proportional to 331,078.54, 456,856.74 and 185,851.06 is: 256,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,078.54 : 456,856.74 = 185,851.06 : x
  2. Step 2: Convert to fraction form
    331,078.54/456,856.74 = 185,851.06/x
  3. Step 3: Cross multiply
    331,078.54x = 456,856.74 × 185,851.06
  4. Step 4: Simplify right side
    331,078.54x = 84,907,309,397.14
  5. Step 5: Solve for x
    x = 84,907,309,397.14/331,078.54
  6. Step 6: Final answer
    x = 256,456.70

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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.