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Finding the Fourth Proportional to 538,945.60, 808,533.60 and 165,006.40

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Solution

The fourth proportional to 538,945.60, 808,533.60 and 165,006.40 is: 247,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,945.60 : 808,533.60 = 165,006.40 : x
  2. Step 2: Convert to fraction form
    538,945.60/808,533.60 = 165,006.40/x
  3. Step 3: Cross multiply
    538,945.60x = 808,533.60 × 165,006.40
  4. Step 4: Simplify right side
    538,945.60x = 133,413,218,615.04
  5. Step 5: Solve for x
    x = 133,413,218,615.04/538,945.60
  6. Step 6: Final answer
    x = 247,544.87

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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.