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Finding the Fourth Proportional to 517,041.40, 713,517.10 and 290,686.90

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Solution

The fourth proportional to 517,041.40, 713,517.10 and 290,686.90 is: 401,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,041.40 : 713,517.10 = 290,686.90 : x
  2. Step 2: Convert to fraction form
    517,041.40/713,517.10 = 290,686.90/x
  3. Step 3: Cross multiply
    517,041.40x = 713,517.10 × 290,686.90
  4. Step 4: Simplify right side
    517,041.40x = 207,410,073,895.99
  5. Step 5: Solve for x
    x = 207,410,073,895.99/517,041.40
  6. Step 6: Final answer
    x = 401,147.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.