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Finding the Fourth Proportional to 394,460.10, 592,215.09 and 207,602.82

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Solution

The fourth proportional to 394,460.10, 592,215.09 and 207,602.82 is: 311,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,460.10 : 592,215.09 = 207,602.82 : x
  2. Step 2: Convert to fraction form
    394,460.10/592,215.09 = 207,602.82/x
  3. Step 3: Cross multiply
    394,460.10x = 592,215.09 × 207,602.82
  4. Step 4: Simplify right side
    394,460.10x = 122,945,522,730.55
  5. Step 5: Solve for x
    x = 122,945,522,730.55/394,460.10
  6. Step 6: Final answer
    x = 311,680.50

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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.