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Finding the Fourth Proportional to 301,637.30, 416,264.49 and 165,683.81

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Solution

The fourth proportional to 301,637.30, 416,264.49 and 165,683.81 is: 228,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,637.30 : 416,264.49 = 165,683.81 : x
  2. Step 2: Convert to fraction form
    301,637.30/416,264.49 = 165,683.81/x
  3. Step 3: Cross multiply
    301,637.30x = 416,264.49 × 165,683.81
  4. Step 4: Simplify right side
    301,637.30x = 68,968,287,711.57
  5. Step 5: Solve for x
    x = 68,968,287,711.57/301,637.30
  6. Step 6: Final answer
    x = 228,646.42

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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.