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Finding the Fourth Proportional to 300,509.23, 414,702.83 and 164,551.79

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Solution

The fourth proportional to 300,509.23, 414,702.83 and 164,551.79 is: 227,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,509.23 : 414,702.83 = 164,551.79 : x
  2. Step 2: Convert to fraction form
    300,509.23/414,702.83 = 164,551.79/x
  3. Step 3: Cross multiply
    300,509.23x = 414,702.83 × 164,551.79
  4. Step 4: Simplify right side
    300,509.23x = 68,240,092,822.18
  5. Step 5: Solve for x
    x = 68,240,092,822.18/300,509.23
  6. Step 6: Final answer
    x = 227,081.52

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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.