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Finding the Fourth Proportional to 294,665.30, 406,671.84 and 163,856.02

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Solution

The fourth proportional to 294,665.30, 406,671.84 and 163,856.02 is: 226,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,665.30 : 406,671.84 = 163,856.02 : x
  2. Step 2: Convert to fraction form
    294,665.30/406,671.84 = 163,856.02/x
  3. Step 3: Cross multiply
    294,665.30x = 406,671.84 × 163,856.02
  4. Step 4: Simplify right side
    294,665.30x = 66,635,629,698.70
  5. Step 5: Solve for x
    x = 66,635,629,698.70/294,665.30
  6. Step 6: Final answer
    x = 226,140.06

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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.