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Finding the Fourth Proportional to 488,080.31, 673,203.62 and 447,923.75

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Solution

The fourth proportional to 488,080.31, 673,203.62 and 447,923.75 is: 617,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,080.31 : 673,203.62 = 447,923.75 : x
  2. Step 2: Convert to fraction form
    488,080.31/673,203.62 = 447,923.75/x
  3. Step 3: Cross multiply
    488,080.31x = 673,203.62 × 447,923.75
  4. Step 4: Simplify right side
    488,080.31x = 301,543,887,737.77
  5. Step 5: Solve for x
    x = 301,543,887,737.77/488,080.31
  6. Step 6: Final answer
    x = 617,816.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.