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Finding the Fourth Proportional to 340,283.24, 469,617.99 and 197,045.81

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Solution

The fourth proportional to 340,283.24, 469,617.99 and 197,045.81 is: 271,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,283.24 : 469,617.99 = 197,045.81 : x
  2. Step 2: Convert to fraction form
    340,283.24/469,617.99 = 197,045.81/x
  3. Step 3: Cross multiply
    340,283.24x = 469,617.99 × 197,045.81
  4. Step 4: Simplify right side
    340,283.24x = 92,536,257,230.12
  5. Step 5: Solve for x
    x = 92,536,257,230.12/340,283.24
  6. Step 6: Final answer
    x = 271,938.92

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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.