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Finding the Fourth Proportional to 312,036.82, 430,612.92 and 191,178.34

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Solution

The fourth proportional to 312,036.82, 430,612.92 and 191,178.34 is: 263,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,036.82 : 430,612.92 = 191,178.34 : x
  2. Step 2: Convert to fraction form
    312,036.82/430,612.92 = 191,178.34/x
  3. Step 3: Cross multiply
    312,036.82x = 430,612.92 × 191,178.34
  4. Step 4: Simplify right side
    312,036.82x = 82,323,863,228.15
  5. Step 5: Solve for x
    x = 82,323,863,228.15/312,036.82
  6. Step 6: Final answer
    x = 263,827.40

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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.