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Finding the Fourth Proportional to 341,856.90, 512,785.35 and 164,709.90

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Solution

The fourth proportional to 341,856.90, 512,785.35 and 164,709.90 is: 247,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,856.90 : 512,785.35 = 164,709.90 : x
  2. Step 2: Convert to fraction form
    341,856.90/512,785.35 = 164,709.90/x
  3. Step 3: Cross multiply
    341,856.90x = 512,785.35 × 164,709.90
  4. Step 4: Simplify right side
    341,856.90x = 84,460,823,719.97
  5. Step 5: Solve for x
    x = 84,460,823,719.97/341,856.90
  6. Step 6: Final answer
    x = 247,064.85

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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.