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Finding the Fourth Proportional to 538,910.40, 808,657.20 and 239,437.20

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Solution

The fourth proportional to 538,910.40, 808,657.20 and 239,437.20 is: 359,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,910.40 : 808,657.20 = 239,437.20 : x
  2. Step 2: Convert to fraction form
    538,910.40/808,657.20 = 239,437.20/x
  3. Step 3: Cross multiply
    538,910.40x = 808,657.20 × 239,437.20
  4. Step 4: Simplify right side
    538,910.40x = 193,622,615,727.84
  5. Step 5: Solve for x
    x = 193,622,615,727.84/538,910.40
  6. Step 6: Final answer
    x = 359,285.36

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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.