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Finding the Fourth Proportional to 418,581.52, 579,163.68 and 364,978.16

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Solution

The fourth proportional to 418,581.52, 579,163.68 and 364,978.16 is: 504,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,581.52 : 579,163.68 = 364,978.16 : x
  2. Step 2: Convert to fraction form
    418,581.52/579,163.68 = 364,978.16/x
  3. Step 3: Cross multiply
    418,581.52x = 579,163.68 × 364,978.16
  4. Step 4: Simplify right side
    418,581.52x = 211,382,094,265.23
  5. Step 5: Solve for x
    x = 211,382,094,265.23/418,581.52
  6. Step 6: Final answer
    x = 504,996.24

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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.