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Finding the Fourth Proportional to 366,716.26, 506,315.94 and 229,105.66

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Solution

The fourth proportional to 366,716.26, 506,315.94 and 229,105.66 is: 316,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,716.26 : 506,315.94 = 229,105.66 : x
  2. Step 2: Convert to fraction form
    366,716.26/506,315.94 = 229,105.66/x
  3. Step 3: Cross multiply
    366,716.26x = 506,315.94 × 229,105.66
  4. Step 4: Simplify right side
    366,716.26x = 115,999,847,602.22
  5. Step 5: Solve for x
    x = 115,999,847,602.22/366,716.26
  6. Step 6: Final answer
    x = 316,320.44

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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.