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Finding the Fourth Proportional to 442,965.80, 664,448.70 and 416,721.80

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Solution

The fourth proportional to 442,965.80, 664,448.70 and 416,721.80 is: 625,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,965.80 : 664,448.70 = 416,721.80 : x
  2. Step 2: Convert to fraction form
    442,965.80/664,448.70 = 416,721.80/x
  3. Step 3: Cross multiply
    442,965.80x = 664,448.70 × 416,721.80
  4. Step 4: Simplify right side
    442,965.80x = 276,890,258,271.66
  5. Step 5: Solve for x
    x = 276,890,258,271.66/442,965.80
  6. Step 6: Final answer
    x = 625,082.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.