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Finding the Fourth Proportional to 301,752.14, 416,424.92 and 165,794.58

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Solution

The fourth proportional to 301,752.14, 416,424.92 and 165,794.58 is: 228,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,752.14 : 416,424.92 = 165,794.58 : x
  2. Step 2: Convert to fraction form
    301,752.14/416,424.92 = 165,794.58/x
  3. Step 3: Cross multiply
    301,752.14x = 416,424.92 × 165,794.58
  4. Step 4: Simplify right side
    301,752.14x = 69,040,993,883.96
  5. Step 5: Solve for x
    x = 69,040,993,883.96/301,752.14
  6. Step 6: Final answer
    x = 228,800.35

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1.5x scale

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.