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Finding the Fourth Proportional to 268,383.40, 402,834.30 and 163,407.40

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Solution

The fourth proportional to 268,383.40, 402,834.30 and 163,407.40 is: 245,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,383.40 : 402,834.30 = 163,407.40 : x
  2. Step 2: Convert to fraction form
    268,383.40/402,834.30 = 163,407.40/x
  3. Step 3: Cross multiply
    268,383.40x = 402,834.30 × 163,407.40
  4. Step 4: Simplify right side
    268,383.40x = 65,826,105,593.82
  5. Step 5: Solve for x
    x = 65,826,105,593.82/268,383.40
  6. Step 6: Final answer
    x = 245,268.92

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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.