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Finding the Fourth Proportional to 389,863.84, 538,100.96 and 253,657.48

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Solution

The fourth proportional to 389,863.84, 538,100.96 and 253,657.48 is: 350,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,863.84 : 538,100.96 = 253,657.48 : x
  2. Step 2: Convert to fraction form
    389,863.84/538,100.96 = 253,657.48/x
  3. Step 3: Cross multiply
    389,863.84x = 538,100.96 × 253,657.48
  4. Step 4: Simplify right side
    389,863.84x = 136,493,333,499.18
  5. Step 5: Solve for x
    x = 136,493,333,499.18/389,863.84
  6. Step 6: Final answer
    x = 350,105.14

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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.