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Finding the Fourth Proportional to 408,942.66, 564,021.14 and 265,748.70

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Solution

The fourth proportional to 408,942.66, 564,021.14 and 265,748.70 is: 366,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,942.66 : 564,021.14 = 265,748.70 : x
  2. Step 2: Convert to fraction form
    408,942.66/564,021.14 = 265,748.70/x
  3. Step 3: Cross multiply
    408,942.66x = 564,021.14 × 265,748.70
  4. Step 4: Simplify right side
    408,942.66x = 149,887,884,727.52
  5. Step 5: Solve for x
    x = 149,887,884,727.52/408,942.66
  6. Step 6: Final answer
    x = 366,525.43

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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.