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Finding the Fourth Proportional to 300,343.10, 414,473.68 and 164,377.02

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Solution

The fourth proportional to 300,343.10, 414,473.68 and 164,377.02 is: 226,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,343.10 : 414,473.68 = 164,377.02 : x
  2. Step 2: Convert to fraction form
    300,343.10/414,473.68 = 164,377.02/x
  3. Step 3: Cross multiply
    300,343.10x = 414,473.68 × 164,377.02
  4. Step 4: Simplify right side
    300,343.10x = 68,129,948,386.83
  5. Step 5: Solve for x
    x = 68,129,948,386.83/300,343.10
  6. Step 6: Final answer
    x = 226,840.40

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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.