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Finding the Fourth Proportional to 460,710.57, 691,164.27 and 161,200.92

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Solution

The fourth proportional to 460,710.57, 691,164.27 and 161,200.92 is: 241,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,710.57 : 691,164.27 = 161,200.92 : x
  2. Step 2: Convert to fraction form
    460,710.57/691,164.27 = 161,200.92/x
  3. Step 3: Cross multiply
    460,710.57x = 691,164.27 × 161,200.92
  4. Step 4: Simplify right side
    460,710.57x = 111,416,316,195.13
  5. Step 5: Solve for x
    x = 111,416,316,195.13/460,710.57
  6. Step 6: Final answer
    x = 241,835.82

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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.