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Finding the Fourth Proportional to 524,195.15, 721,732.07 and 476,305.31

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Solution

The fourth proportional to 524,195.15, 721,732.07 and 476,305.31 is: 655,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,195.15 : 721,732.07 = 476,305.31 : x
  2. Step 2: Convert to fraction form
    524,195.15/721,732.07 = 476,305.31/x
  3. Step 3: Cross multiply
    524,195.15x = 721,732.07 × 476,305.31
  4. Step 4: Simplify right side
    524,195.15x = 343,764,820,333.39
  5. Step 5: Solve for x
    x = 343,764,820,333.39/524,195.15
  6. Step 6: Final answer
    x = 655,795.51

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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.