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Finding the Fourth Proportional to 277,281.49, 415,922.31 and 77,631.29

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Solution

The fourth proportional to 277,281.49, 415,922.31 and 77,631.29 is: 116,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,281.49 : 415,922.31 = 77,631.29 : x
  2. Step 2: Convert to fraction form
    277,281.49/415,922.31 = 77,631.29/x
  3. Step 3: Cross multiply
    277,281.49x = 415,922.31 × 77,631.29
  4. Step 4: Simplify right side
    277,281.49x = 32,288,585,465.08
  5. Step 5: Solve for x
    x = 32,288,585,465.08/277,281.49
  6. Step 6: Final answer
    x = 116,446.96

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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.