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Finding the Fourth Proportional to 312,233.49, 430,892.65 and 191,351.42

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Solution

The fourth proportional to 312,233.49, 430,892.65 and 191,351.42 is: 264,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,233.49 : 430,892.65 = 191,351.42 : x
  2. Step 2: Convert to fraction form
    312,233.49/430,892.65 = 191,351.42/x
  3. Step 3: Cross multiply
    312,233.49x = 430,892.65 × 191,351.42
  4. Step 4: Simplify right side
    312,233.49x = 82,451,917,812.22
  5. Step 5: Solve for x
    x = 82,451,917,812.22/312,233.49
  6. Step 6: Final answer
    x = 264,071.35

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1.5x scale

Why These Related Problems?

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