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Finding the Fourth Proportional to 297,090.87, 409,959.68 and 174,570.27

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Solution

The fourth proportional to 297,090.87, 409,959.68 and 174,570.27 is: 240,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,090.87 : 409,959.68 = 174,570.27 : x
  2. Step 2: Convert to fraction form
    297,090.87/409,959.68 = 174,570.27/x
  3. Step 3: Cross multiply
    297,090.87x = 409,959.68 × 174,570.27
  4. Step 4: Simplify right side
    297,090.87x = 71,566,771,153.86
  5. Step 5: Solve for x
    x = 71,566,771,153.86/297,090.87
  6. Step 6: Final answer
    x = 240,891.86

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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.