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Finding the Fourth Proportional to 380,614.23, 570,921.14 and 355,391.57

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Solution

The fourth proportional to 380,614.23, 570,921.14 and 355,391.57 is: 533,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,614.23 : 570,921.14 = 355,391.57 : x
  2. Step 2: Convert to fraction form
    380,614.23/570,921.14 = 355,391.57/x
  3. Step 3: Cross multiply
    380,614.23x = 570,921.14 × 355,391.57
  4. Step 4: Simplify right side
    380,614.23x = 202,900,555,659.23
  5. Step 5: Solve for x
    x = 202,900,555,659.23/380,614.23
  6. Step 6: Final answer
    x = 533,087.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.