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Finding the Fourth Proportional to 460,697.30, 691,080.94 and 156,997.07

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Solution

The fourth proportional to 460,697.30, 691,080.94 and 156,997.07 is: 235,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,697.30 : 691,080.94 = 156,997.07 : x
  2. Step 2: Convert to fraction form
    460,697.30/691,080.94 = 156,997.07/x
  3. Step 3: Cross multiply
    460,697.30x = 691,080.94 × 156,997.07
  4. Step 4: Simplify right side
    460,697.30x = 108,497,681,162.13
  5. Step 5: Solve for x
    x = 108,497,681,162.13/460,697.30
  6. Step 6: Final answer
    x = 235,507.53

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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.