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Finding the Fourth Proportional to 305,838.38, 458,653.69 and 116,253.12

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Solution

The fourth proportional to 305,838.38, 458,653.69 and 116,253.12 is: 174,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,838.38 : 458,653.69 = 116,253.12 : x
  2. Step 2: Convert to fraction form
    305,838.38/458,653.69 = 116,253.12/x
  3. Step 3: Cross multiply
    305,838.38x = 458,653.69 × 116,253.12
  4. Step 4: Simplify right side
    305,838.38x = 53,319,924,327.28
  5. Step 5: Solve for x
    x = 53,319,924,327.28/305,838.38
  6. Step 6: Final answer
    x = 174,340.20

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Why These Related Problems?

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