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Finding the Fourth Proportional to 471,175.80, 706,763.70 and 377,863.80

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Solution

The fourth proportional to 471,175.80, 706,763.70 and 377,863.80 is: 566,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,175.80 : 706,763.70 = 377,863.80 : x
  2. Step 2: Convert to fraction form
    471,175.80/706,763.70 = 377,863.80/x
  3. Step 3: Cross multiply
    471,175.80x = 706,763.70 × 377,863.80
  4. Step 4: Simplify right side
    471,175.80x = 267,060,417,384.06
  5. Step 5: Solve for x
    x = 267,060,417,384.06/471,175.80
  6. Step 6: Final answer
    x = 566,795.70

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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.