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Finding the Fourth Proportional to 399,420.84, 551,178.18 and 238,457.64

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Solution

The fourth proportional to 399,420.84, 551,178.18 and 238,457.64 is: 329,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,420.84 : 551,178.18 = 238,457.64 : x
  2. Step 2: Convert to fraction form
    399,420.84/551,178.18 = 238,457.64/x
  3. Step 3: Cross multiply
    399,420.84x = 551,178.18 × 238,457.64
  4. Step 4: Simplify right side
    399,420.84x = 131,432,648,022.30
  5. Step 5: Solve for x
    x = 131,432,648,022.30/399,420.84
  6. Step 6: Final answer
    x = 329,058.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.