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Finding the Fourth Proportional to 412,313.74, 617,887.41 and 175,417.90

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Solution

The fourth proportional to 412,313.74, 617,887.41 and 175,417.90 is: 262,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,313.74 : 617,887.41 = 175,417.90 : x
  2. Step 2: Convert to fraction form
    412,313.74/617,887.41 = 175,417.90/x
  3. Step 3: Cross multiply
    412,313.74x = 617,887.41 × 175,417.90
  4. Step 4: Simplify right side
    412,313.74x = 108,388,511,898.64
  5. Step 5: Solve for x
    x = 108,388,511,898.64/412,313.74
  6. Step 6: Final answer
    x = 262,878.73

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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.