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Finding the Fourth Proportional to 277,707.43, 416,246.32 and 117,683.79

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Solution

The fourth proportional to 277,707.43, 416,246.32 and 117,683.79 is: 176,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,707.43 : 416,246.32 = 117,683.79 : x
  2. Step 2: Convert to fraction form
    277,707.43/416,246.32 = 117,683.79/x
  3. Step 3: Cross multiply
    277,707.43x = 416,246.32 × 117,683.79
  4. Step 4: Simplify right side
    277,707.43x = 48,985,444,511.15
  5. Step 5: Solve for x
    x = 48,985,444,511.15/277,707.43
  6. Step 6: Final answer
    x = 176,392.27

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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.