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Finding the Fourth Proportional to 382,763.64, 527,666.28 and 269,234.04

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Solution

The fourth proportional to 382,763.64, 527,666.28 and 269,234.04 is: 371,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,763.64 : 527,666.28 = 269,234.04 : x
  2. Step 2: Convert to fraction form
    382,763.64/527,666.28 = 269,234.04/x
  3. Step 3: Cross multiply
    382,763.64x = 527,666.28 × 269,234.04
  4. Step 4: Simplify right side
    382,763.64x = 142,065,724,336.17
  5. Step 5: Solve for x
    x = 142,065,724,336.17/382,763.64
  6. Step 6: Final answer
    x = 371,157.84

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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.