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Finding the Fourth Proportional to 609,837.56, 915,594.14 and 310,519.16

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Solution

The fourth proportional to 609,837.56, 915,594.14 and 310,519.16 is: 466,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,837.56 : 915,594.14 = 310,519.16 : x
  2. Step 2: Convert to fraction form
    609,837.56/915,594.14 = 310,519.16/x
  3. Step 3: Cross multiply
    609,837.56x = 915,594.14 × 310,519.16
  4. Step 4: Simplify right side
    609,837.56x = 284,309,523,253.72
  5. Step 5: Solve for x
    x = 284,309,523,253.72/609,837.56
  6. Step 6: Final answer
    x = 466,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.