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Finding the Fourth Proportional to 301,733.29, 416,390.34 and 163,911.14

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Solution

The fourth proportional to 301,733.29, 416,390.34 and 163,911.14 is: 226,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.29 : 416,390.34 = 163,911.14 : x
  2. Step 2: Convert to fraction form
    301,733.29/416,390.34 = 163,911.14/x
  3. Step 3: Cross multiply
    301,733.29x = 416,390.34 × 163,911.14
  4. Step 4: Simplify right side
    301,733.29x = 68,251,015,314.39
  5. Step 5: Solve for x
    x = 68,251,015,314.39/301,733.29
  6. Step 6: Final answer
    x = 226,196.50

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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.