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Finding the Fourth Proportional to 464,816.12, 697,453.83 and 275,268.83

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Solution

The fourth proportional to 464,816.12, 697,453.83 and 275,268.83 is: 413,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,816.12 : 697,453.83 = 275,268.83 : x
  2. Step 2: Convert to fraction form
    464,816.12/697,453.83 = 275,268.83/x
  3. Step 3: Cross multiply
    464,816.12x = 697,453.83 × 275,268.83
  4. Step 4: Simplify right side
    464,816.12x = 191,987,296,275.85
  5. Step 5: Solve for x
    x = 191,987,296,275.85/464,816.12
  6. Step 6: Final answer
    x = 413,039.24

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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.