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Finding the Fourth Proportional to 405,058.72, 607,741.20 and 168,381.52

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Solution

The fourth proportional to 405,058.72, 607,741.20 and 168,381.52 is: 252,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,058.72 : 607,741.20 = 168,381.52 : x
  2. Step 2: Convert to fraction form
    405,058.72/607,741.20 = 168,381.52/x
  3. Step 3: Cross multiply
    405,058.72x = 607,741.20 × 168,381.52
  4. Step 4: Simplify right side
    405,058.72x = 102,332,387,022.62
  5. Step 5: Solve for x
    x = 102,332,387,022.62/405,058.72
  6. Step 6: Final answer
    x = 252,635.93

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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.