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Finding the Fourth Proportional to 410,651.64, 566,710.68 and 226,902.05

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Solution

The fourth proportional to 410,651.64, 566,710.68 and 226,902.05 is: 313,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,651.64 : 566,710.68 = 226,902.05 : x
  2. Step 2: Convert to fraction form
    410,651.64/566,710.68 = 226,902.05/x
  3. Step 3: Cross multiply
    410,651.64x = 566,710.68 × 226,902.05
  4. Step 4: Simplify right side
    410,651.64x = 128,587,812,215.34
  5. Step 5: Solve for x
    x = 128,587,812,215.34/410,651.64
  6. Step 6: Final answer
    x = 313,131.13

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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.