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Finding the Fourth Proportional to 475,808.15, 656,569.32 and 284,817.44

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Solution

The fourth proportional to 475,808.15, 656,569.32 and 284,817.44 is: 393,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,808.15 : 656,569.32 = 284,817.44 : x
  2. Step 2: Convert to fraction form
    475,808.15/656,569.32 = 284,817.44/x
  3. Step 3: Cross multiply
    475,808.15x = 656,569.32 × 284,817.44
  4. Step 4: Simplify right side
    475,808.15x = 187,002,392,904.94
  5. Step 5: Solve for x
    x = 187,002,392,904.94/475,808.15
  6. Step 6: Final answer
    x = 393,020.58

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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.