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Finding the Fourth Proportional to 538,458.60, 807,680.70 and 164,483.40

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Solution

The fourth proportional to 538,458.60, 807,680.70 and 164,483.40 is: 246,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,458.60 : 807,680.70 = 164,483.40 : x
  2. Step 2: Convert to fraction form
    538,458.60/807,680.70 = 164,483.40/x
  3. Step 3: Cross multiply
    538,458.60x = 807,680.70 × 164,483.40
  4. Step 4: Simplify right side
    538,458.60x = 132,850,067,650.38
  5. Step 5: Solve for x
    x = 132,850,067,650.38/538,458.60
  6. Step 6: Final answer
    x = 246,722.90

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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.