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Finding the Fourth Proportional to 380,289.20, 524,634.32 and 229,302.32

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Solution

The fourth proportional to 380,289.20, 524,634.32 and 229,302.32 is: 316,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,289.20 : 524,634.32 = 229,302.32 : x
  2. Step 2: Convert to fraction form
    380,289.20/524,634.32 = 229,302.32/x
  3. Step 3: Cross multiply
    380,289.20x = 524,634.32 × 229,302.32
  4. Step 4: Simplify right side
    380,289.20x = 120,299,866,727.62
  5. Step 5: Solve for x
    x = 120,299,866,727.62/380,289.20
  6. Step 6: Final answer
    x = 316,337.85

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