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Finding the Fourth Proportional to 523,162.88, 721,943.52 and 296,803.52

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Solution

The fourth proportional to 523,162.88, 721,943.52 and 296,803.52 is: 409,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,162.88 : 721,943.52 = 296,803.52 : x
  2. Step 2: Convert to fraction form
    523,162.88/721,943.52 = 296,803.52/x
  3. Step 3: Cross multiply
    523,162.88x = 721,943.52 × 296,803.52
  4. Step 4: Simplify right side
    523,162.88x = 214,275,377,977.19
  5. Step 5: Solve for x
    x = 214,275,377,977.19/523,162.88
  6. Step 6: Final answer
    x = 409,576.80

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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.