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Finding the Fourth Proportional to 417,683.39, 576,403.59 and 226,696.83

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Solution

The fourth proportional to 417,683.39, 576,403.59 and 226,696.83 is: 312,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,683.39 : 576,403.59 = 226,696.83 : x
  2. Step 2: Convert to fraction form
    417,683.39/576,403.59 = 226,696.83/x
  3. Step 3: Cross multiply
    417,683.39x = 576,403.59 × 226,696.83
  4. Step 4: Simplify right side
    417,683.39x = 130,668,865,342.22
  5. Step 5: Solve for x
    x = 130,668,865,342.22/417,683.39
  6. Step 6: Final answer
    x = 312,841.90

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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.