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Finding the Fourth Proportional to 301,496.16, 416,066.56 and 165,536.04

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Solution

The fourth proportional to 301,496.16, 416,066.56 and 165,536.04 is: 228,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,496.16 : 416,066.56 = 165,536.04 : x
  2. Step 2: Convert to fraction form
    301,496.16/416,066.56 = 165,536.04/x
  3. Step 3: Cross multiply
    301,496.16x = 416,066.56 × 165,536.04
  4. Step 4: Simplify right side
    301,496.16x = 68,874,010,718.82
  5. Step 5: Solve for x
    x = 68,874,010,718.82/301,496.16
  6. Step 6: Final answer
    x = 228,440.76

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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.