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Finding the Fourth Proportional to 469,069.76, 703,714 and 153,507.54

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Solution

The fourth proportional to 469,069.76, 703,714 and 153,507.54 is: 230,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,069.76 : 703,714 = 153,507.54 : x
  2. Step 2: Convert to fraction form
    469,069.76/703,714 = 153,507.54/x
  3. Step 3: Cross multiply
    469,069.76x = 703,714 × 153,507.54
  4. Step 4: Simplify right side
    469,069.76x = 108,025,405,003.56
  5. Step 5: Solve for x
    x = 108,025,405,003.56/469,069.76
  6. Step 6: Final answer
    x = 230,297.10

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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.