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Finding the Fourth Proportional to 409,916.69, 565,683.15 and 226,150.26

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Solution

The fourth proportional to 409,916.69, 565,683.15 and 226,150.26 is: 312,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,916.69 : 565,683.15 = 226,150.26 : x
  2. Step 2: Convert to fraction form
    409,916.69/565,683.15 = 226,150.26/x
  3. Step 3: Cross multiply
    409,916.69x = 565,683.15 × 226,150.26
  4. Step 4: Simplify right side
    409,916.69x = 127,929,390,176.87
  5. Step 5: Solve for x
    x = 127,929,390,176.87/409,916.69
  6. Step 6: Final answer
    x = 312,086.32

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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.