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Finding the Fourth Proportional to 313,957.90, 470,344.24 and 185,490.86

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Solution

The fourth proportional to 313,957.90, 470,344.24 and 185,490.86 is: 277,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,957.90 : 470,344.24 = 185,490.86 : x
  2. Step 2: Convert to fraction form
    313,957.90/470,344.24 = 185,490.86/x
  3. Step 3: Cross multiply
    313,957.90x = 470,344.24 × 185,490.86
  4. Step 4: Simplify right side
    313,957.90x = 87,244,557,056.09
  5. Step 5: Solve for x
    x = 87,244,557,056.09/313,957.90
  6. Step 6: Final answer
    x = 277,886.17

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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.