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Finding the Fourth Proportional to 485,507.22, 729,465.43 and 314,837.52

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Solution

The fourth proportional to 485,507.22, 729,465.43 and 314,837.52 is: 473,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,507.22 : 729,465.43 = 314,837.52 : x
  2. Step 2: Convert to fraction form
    485,507.22/729,465.43 = 314,837.52/x
  3. Step 3: Cross multiply
    485,507.22x = 729,465.43 × 314,837.52
  4. Step 4: Simplify right side
    485,507.22x = 229,663,086,906.93
  5. Step 5: Solve for x
    x = 229,663,086,906.93/485,507.22
  6. Step 6: Final answer
    x = 473,037.43

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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.