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Finding the Fourth Proportional to 597,952.67, 825,181.13 and 326,018.35

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Solution

The fourth proportional to 597,952.67, 825,181.13 and 326,018.35 is: 449,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,952.67 : 825,181.13 = 326,018.35 : x
  2. Step 2: Convert to fraction form
    597,952.67/825,181.13 = 326,018.35/x
  3. Step 3: Cross multiply
    597,952.67x = 825,181.13 × 326,018.35
  4. Step 4: Simplify right side
    597,952.67x = 269,024,184,697.74
  5. Step 5: Solve for x
    x = 269,024,184,697.74/597,952.67
  6. Step 6: Final answer
    x = 449,908.83

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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.