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Finding the Fourth Proportional to 599,589.01, 827,353.20 and 385,019.74

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Solution

The fourth proportional to 599,589.01, 827,353.20 and 385,019.74 is: 531,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,589.01 : 827,353.20 = 385,019.74 : x
  2. Step 2: Convert to fraction form
    599,589.01/827,353.20 = 385,019.74/x
  3. Step 3: Cross multiply
    599,589.01x = 827,353.20 × 385,019.74
  4. Step 4: Simplify right side
    599,589.01x = 318,547,313,952.17
  5. Step 5: Solve for x
    x = 318,547,313,952.17/599,589.01
  6. Step 6: Final answer
    x = 531,276.11

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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.