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Finding the Fourth Proportional to 460,129.91, 690,231.75 and 160,603.85

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Solution

The fourth proportional to 460,129.91, 690,231.75 and 160,603.85 is: 240,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,129.91 : 690,231.75 = 160,603.85 : x
  2. Step 2: Convert to fraction form
    460,129.91/690,231.75 = 160,603.85/x
  3. Step 3: Cross multiply
    460,129.91x = 690,231.75 × 160,603.85
  4. Step 4: Simplify right side
    460,129.91x = 110,853,872,991.08
  5. Step 5: Solve for x
    x = 110,853,872,991.08/460,129.91
  6. Step 6: Final answer
    x = 240,918.64

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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.