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Finding the Fourth Proportional to 300,607, 414,837.78 and 166,471

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Solution

The fourth proportional to 300,607, 414,837.78 and 166,471 is: 229,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,607 : 414,837.78 = 166,471 : x
  2. Step 2: Convert to fraction form
    300,607/414,837.78 = 166,471/x
  3. Step 3: Cross multiply
    300,607x = 414,837.78 × 166,471
  4. Step 4: Simplify right side
    300,607x = 69,058,460,074.38
  5. Step 5: Solve for x
    x = 69,058,460,074.38/300,607
  6. Step 6: Final answer
    x = 229,730.05

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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.