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Finding the Fourth Proportional to 315,893.14, 474,061.11 and 182,590

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Solution

The fourth proportional to 315,893.14, 474,061.11 and 182,590 is: 274,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,893.14 : 474,061.11 = 182,590 : x
  2. Step 2: Convert to fraction form
    315,893.14/474,061.11 = 182,590/x
  3. Step 3: Cross multiply
    315,893.14x = 474,061.11 × 182,590
  4. Step 4: Simplify right side
    315,893.14x = 86,558,818,074.90
  5. Step 5: Solve for x
    x = 86,558,818,074.90/315,893.14
  6. Step 6: Final answer
    x = 274,012.97

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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.