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Finding the Fourth Proportional to 300,687.32, 414,948.59 and 164,726.16

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Solution

The fourth proportional to 300,687.32, 414,948.59 and 164,726.16 is: 227,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,687.32 : 414,948.59 = 164,726.16 : x
  2. Step 2: Convert to fraction form
    300,687.32/414,948.59 = 164,726.16/x
  3. Step 3: Cross multiply
    300,687.32x = 414,948.59 × 164,726.16
  4. Step 4: Simplify right side
    300,687.32x = 68,352,886,066.15
  5. Step 5: Solve for x
    x = 68,352,886,066.15/300,687.32
  6. Step 6: Final answer
    x = 227,322.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.