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Finding the Fourth Proportional to 380,293.20, 524,639.84 and 229,306.32

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Solution

The fourth proportional to 380,293.20, 524,639.84 and 229,306.32 is: 316,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,293.20 : 524,639.84 = 229,306.32 : x
  2. Step 2: Convert to fraction form
    380,293.20/524,639.84 = 229,306.32/x
  3. Step 3: Cross multiply
    380,293.20x = 524,639.84 × 229,306.32
  4. Step 4: Simplify right side
    380,293.20x = 120,303,231,035.79
  5. Step 5: Solve for x
    x = 120,303,231,035.79/380,293.20
  6. Step 6: Final answer
    x = 316,343.37

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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.