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Finding the Fourth Proportional to 385,084.84, 531,578.82 and 234,234.28

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Solution

The fourth proportional to 385,084.84, 531,578.82 and 234,234.28 is: 323,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,084.84 : 531,578.82 = 234,234.28 : x
  2. Step 2: Convert to fraction form
    385,084.84/531,578.82 = 234,234.28/x
  3. Step 3: Cross multiply
    385,084.84x = 531,578.82 × 234,234.28
  4. Step 4: Simplify right side
    385,084.84x = 124,513,982,165.95
  5. Step 5: Solve for x
    x = 124,513,982,165.95/385,084.84
  6. Step 6: Final answer
    x = 323,341.69

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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.