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Finding the Fourth Proportional to 597,595.83, 824,658.24 and 325,657.92

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Solution

The fourth proportional to 597,595.83, 824,658.24 and 325,657.92 is: 449,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,595.83 : 824,658.24 = 325,657.92 : x
  2. Step 2: Convert to fraction form
    597,595.83/824,658.24 = 325,657.92/x
  3. Step 3: Cross multiply
    597,595.83x = 824,658.24 × 325,657.92
  4. Step 4: Simplify right side
    597,595.83x = 268,556,491,462.95
  5. Step 5: Solve for x
    x = 268,556,491,462.95/597,595.83
  6. Step 6: Final answer
    x = 449,394.86

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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.