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Finding the Fourth Proportional to 385,101.20, 577,846.20 and 174,604.88

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Solution

The fourth proportional to 385,101.20, 577,846.20 and 174,604.88 is: 261,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,101.20 : 577,846.20 = 174,604.88 : x
  2. Step 2: Convert to fraction form
    385,101.20/577,846.20 = 174,604.88/x
  3. Step 3: Cross multiply
    385,101.20x = 577,846.20 × 174,604.88
  4. Step 4: Simplify right side
    385,101.20x = 100,894,766,409.46
  5. Step 5: Solve for x
    x = 100,894,766,409.46/385,101.20
  6. Step 6: Final answer
    x = 261,995.46

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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.