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Finding the Fourth Proportional to 293,817, 440,850.21 and 160,541.57

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Solution

The fourth proportional to 293,817, 440,850.21 and 160,541.57 is: 240,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,817 : 440,850.21 = 160,541.57 : x
  2. Step 2: Convert to fraction form
    293,817/440,850.21 = 160,541.57/x
  3. Step 3: Cross multiply
    293,817x = 440,850.21 × 160,541.57
  4. Step 4: Simplify right side
    293,817x = 70,774,782,643.98
  5. Step 5: Solve for x
    x = 70,774,782,643.98/293,817
  6. Step 6: Final answer
    x = 240,880.49

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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.