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Finding the Fourth Proportional to 300,702.22, 414,969.57 and 164,733.19

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Solution

The fourth proportional to 300,702.22, 414,969.57 and 164,733.19 is: 227,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,702.22 : 414,969.57 = 164,733.19 : x
  2. Step 2: Convert to fraction form
    300,702.22/414,969.57 = 164,733.19/x
  3. Step 3: Cross multiply
    300,702.22x = 414,969.57 × 164,733.19
  4. Step 4: Simplify right side
    300,702.22x = 68,359,261,019.03
  5. Step 5: Solve for x
    x = 68,359,261,019.03/300,702.22
  6. Step 6: Final answer
    x = 227,332.08

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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.