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Finding the Fourth Proportional to 469,012.24, 703,508.64 and 114,028.12

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Solution

The fourth proportional to 469,012.24, 703,508.64 and 114,028.12 is: 171,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,012.24 : 703,508.64 = 114,028.12 : x
  2. Step 2: Convert to fraction form
    469,012.24/703,508.64 = 114,028.12/x
  3. Step 3: Cross multiply
    469,012.24x = 703,508.64 × 114,028.12
  4. Step 4: Simplify right side
    469,012.24x = 80,219,767,622.96
  5. Step 5: Solve for x
    x = 80,219,767,622.96/469,012.24
  6. Step 6: Final answer
    x = 171,039.82

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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.