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Finding the Fourth Proportional to 287,434.25, 396,663.38 and 164,946.59

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Solution

The fourth proportional to 287,434.25, 396,663.38 and 164,946.59 is: 227,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,434.25 : 396,663.38 = 164,946.59 : x
  2. Step 2: Convert to fraction form
    287,434.25/396,663.38 = 164,946.59/x
  3. Step 3: Cross multiply
    287,434.25x = 396,663.38 × 164,946.59
  4. Step 4: Simplify right side
    287,434.25x = 65,428,270,337.92
  5. Step 5: Solve for x
    x = 65,428,270,337.92/287,434.25
  6. Step 6: Final answer
    x = 227,628.65

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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.