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Finding the Fourth Proportional to 301,518.91, 416,101.28 and 165,558.59

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Solution

The fourth proportional to 301,518.91, 416,101.28 and 165,558.59 is: 228,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,518.91 : 416,101.28 = 165,558.59 : x
  2. Step 2: Convert to fraction form
    301,518.91/416,101.28 = 165,558.59/x
  3. Step 3: Cross multiply
    301,518.91x = 416,101.28 × 165,558.59
  4. Step 4: Simplify right side
    301,518.91x = 68,889,141,214.00
  5. Step 5: Solve for x
    x = 68,889,141,214.00/301,518.91
  6. Step 6: Final answer
    x = 228,473.70

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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.