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Finding the Fourth Proportional to 419,467.22, 578,617.13 and 296,821.46

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Solution

The fourth proportional to 419,467.22, 578,617.13 and 296,821.46 is: 409,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,467.22 : 578,617.13 = 296,821.46 : x
  2. Step 2: Convert to fraction form
    419,467.22/578,617.13 = 296,821.46/x
  3. Step 3: Cross multiply
    419,467.22x = 578,617.13 × 296,821.46
  4. Step 4: Simplify right side
    419,467.22x = 171,745,979,823.50
  5. Step 5: Solve for x
    x = 171,745,979,823.50/419,467.22
  6. Step 6: Final answer
    x = 409,438.38

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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.