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Finding the Fourth Proportional to 315,388, 435,253.20 and 181,260.64

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Solution

The fourth proportional to 315,388, 435,253.20 and 181,260.64 is: 250,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,388 : 435,253.20 = 181,260.64 : x
  2. Step 2: Convert to fraction form
    315,388/435,253.20 = 181,260.64/x
  3. Step 3: Cross multiply
    315,388x = 435,253.20 × 181,260.64
  4. Step 4: Simplify right side
    315,388x = 78,894,273,594.05
  5. Step 5: Solve for x
    x = 78,894,273,594.05/315,388
  6. Step 6: Final answer
    x = 250,149.89

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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.