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Finding the Fourth Proportional to 463,313.98, 695,022.83 and 147,697.66

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Solution

The fourth proportional to 463,313.98, 695,022.83 and 147,697.66 is: 221,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,313.98 : 695,022.83 = 147,697.66 : x
  2. Step 2: Convert to fraction form
    463,313.98/695,022.83 = 147,697.66/x
  3. Step 3: Cross multiply
    463,313.98x = 695,022.83 × 147,697.66
  4. Step 4: Simplify right side
    463,313.98x = 102,653,244,899.09
  5. Step 5: Solve for x
    x = 102,653,244,899.09/463,313.98
  6. Step 6: Final answer
    x = 221,563.02

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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.