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Finding the Fourth Proportional to 564,662.70, 846,246.42 and 414,198.59

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Solution

The fourth proportional to 564,662.70, 846,246.42 and 414,198.59 is: 620,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,662.70 : 846,246.42 = 414,198.59 : x
  2. Step 2: Convert to fraction form
    564,662.70/846,246.42 = 414,198.59/x
  3. Step 3: Cross multiply
    564,662.70x = 846,246.42 × 414,198.59
  4. Step 4: Simplify right side
    564,662.70x = 350,514,069,725.32
  5. Step 5: Solve for x
    x = 350,514,069,725.32/564,662.70
  6. Step 6: Final answer
    x = 620,749.47

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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.