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Finding the Fourth Proportional to 523,062.88, 721,805.52 and 296,703.52

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Solution

The fourth proportional to 523,062.88, 721,805.52 and 296,703.52 is: 409,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,062.88 : 721,805.52 = 296,703.52 : x
  2. Step 2: Convert to fraction form
    523,062.88/721,805.52 = 296,703.52/x
  3. Step 3: Cross multiply
    523,062.88x = 721,805.52 × 296,703.52
  4. Step 4: Simplify right side
    523,062.88x = 214,162,238,539.43
  5. Step 5: Solve for x
    x = 214,162,238,539.43/523,062.88
  6. Step 6: Final answer
    x = 409,438.80

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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.