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Finding the Fourth Proportional to 361,298.32, 541,832.63 and 337,711.48

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Solution

The fourth proportional to 361,298.32, 541,832.63 and 337,711.48 is: 506,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,298.32 : 541,832.63 = 337,711.48 : x
  2. Step 2: Convert to fraction form
    361,298.32/541,832.63 = 337,711.48/x
  3. Step 3: Cross multiply
    361,298.32x = 541,832.63 × 337,711.48
  4. Step 4: Simplify right side
    361,298.32x = 182,983,099,389.59
  5. Step 5: Solve for x
    x = 182,983,099,389.59/361,298.32
  6. Step 6: Final answer
    x = 506,459.87

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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.