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Finding the Fourth Proportional to 394,461.60, 592,217.34 and 207,604.32

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Solution

The fourth proportional to 394,461.60, 592,217.34 and 207,604.32 is: 311,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,461.60 : 592,217.34 = 207,604.32 : x
  2. Step 2: Convert to fraction form
    394,461.60/592,217.34 = 207,604.32/x
  3. Step 3: Cross multiply
    394,461.60x = 592,217.34 × 207,604.32
  4. Step 4: Simplify right side
    394,461.60x = 122,946,878,162.91
  5. Step 5: Solve for x
    x = 122,946,878,162.91/394,461.60
  6. Step 6: Final answer
    x = 311,682.75

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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.