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Finding the Fourth Proportional to 493,502.57, 740,341.31 and 223,619.81

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Solution

The fourth proportional to 493,502.57, 740,341.31 and 223,619.81 is: 335,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,502.57 : 740,341.31 = 223,619.81 : x
  2. Step 2: Convert to fraction form
    493,502.57/740,341.31 = 223,619.81/x
  3. Step 3: Cross multiply
    493,502.57x = 740,341.31 × 223,619.81
  4. Step 4: Simplify right side
    493,502.57x = 165,554,983,130.26
  5. Step 5: Solve for x
    x = 165,554,983,130.26/493,502.57
  6. Step 6: Final answer
    x = 335,469.34

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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.