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Finding the Fourth Proportional to 301,506.38, 416,079.62 and 165,549.14

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Solution

The fourth proportional to 301,506.38, 416,079.62 and 165,549.14 is: 228,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,506.38 : 416,079.62 = 165,549.14 : x
  2. Step 2: Convert to fraction form
    301,506.38/416,079.62 = 165,549.14/x
  3. Step 3: Cross multiply
    301,506.38x = 416,079.62 × 165,549.14
  4. Step 4: Simplify right side
    301,506.38x = 68,881,623,262.53
  5. Step 5: Solve for x
    x = 68,881,623,262.53/301,506.38
  6. Step 6: Final answer
    x = 228,458.26

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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.