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Finding the Fourth Proportional to 414,218.70, 620,890.65 and 236,342.70

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Solution

The fourth proportional to 414,218.70, 620,890.65 and 236,342.70 is: 354,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,218.70 : 620,890.65 = 236,342.70 : x
  2. Step 2: Convert to fraction form
    414,218.70/620,890.65 = 236,342.70/x
  3. Step 3: Cross multiply
    414,218.70x = 620,890.65 × 236,342.70
  4. Step 4: Simplify right side
    414,218.70x = 146,742,972,625.76
  5. Step 5: Solve for x
    x = 146,742,972,625.76/414,218.70
  6. Step 6: Final answer
    x = 354,264.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.