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Finding the Fourth Proportional to 301,498.42, 416,065.68 and 165,534.64

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Solution

The fourth proportional to 301,498.42, 416,065.68 and 165,534.64 is: 228,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,498.42 : 416,065.68 = 165,534.64 : x
  2. Step 2: Convert to fraction form
    301,498.42/416,065.68 = 165,534.64/x
  3. Step 3: Cross multiply
    301,498.42x = 416,065.68 × 165,534.64
  4. Step 4: Simplify right side
    301,498.42x = 68,873,282,555.16
  5. Step 5: Solve for x
    x = 68,873,282,555.16/301,498.42
  6. Step 6: Final answer
    x = 228,436.63

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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.