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Finding the Fourth Proportional to 538,447.60, 807,664.20 and 164,472.40

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Solution

The fourth proportional to 538,447.60, 807,664.20 and 164,472.40 is: 246,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,447.60 : 807,664.20 = 164,472.40 : x
  2. Step 2: Convert to fraction form
    538,447.60/807,664.20 = 164,472.40/x
  3. Step 3: Cross multiply
    538,447.60x = 807,664.20 × 164,472.40
  4. Step 4: Simplify right side
    538,447.60x = 132,838,469,368.08
  5. Step 5: Solve for x
    x = 132,838,469,368.08/538,447.60
  6. Step 6: Final answer
    x = 246,706.40

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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.