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Finding the Fourth Proportional to 417,786.61, 576,552.53 and 226,800

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Solution

The fourth proportional to 417,786.61, 576,552.53 and 226,800 is: 312,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,786.61 : 576,552.53 = 226,800 : x
  2. Step 2: Convert to fraction form
    417,786.61/576,552.53 = 226,800/x
  3. Step 3: Cross multiply
    417,786.61x = 576,552.53 × 226,800
  4. Step 4: Simplify right side
    417,786.61x = 130,762,114,371
  5. Step 5: Solve for x
    x = 130,762,114,371/417,786.61
  6. Step 6: Final answer
    x = 312,987.81

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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.