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Finding the Fourth Proportional to 399,402.34, 598,753.58 and 150,259.30

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Solution

The fourth proportional to 399,402.34, 598,753.58 and 150,259.30 is: 225,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,402.34 : 598,753.58 = 150,259.30 : x
  2. Step 2: Convert to fraction form
    399,402.34/598,753.58 = 150,259.30/x
  3. Step 3: Cross multiply
    399,402.34x = 598,753.58 × 150,259.30
  4. Step 4: Simplify right side
    399,402.34x = 89,968,293,803.29
  5. Step 5: Solve for x
    x = 89,968,293,803.29/399,402.34
  6. Step 6: Final answer
    x = 225,257.30

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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.