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Finding the Fourth Proportional to 301,645.48, 416,274.19 and 165,682.61

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Solution

The fourth proportional to 301,645.48, 416,274.19 and 165,682.61 is: 228,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,645.48 : 416,274.19 = 165,682.61 : x
  2. Step 2: Convert to fraction form
    301,645.48/416,274.19 = 165,682.61/x
  3. Step 3: Cross multiply
    301,645.48x = 416,274.19 × 165,682.61
  4. Step 4: Simplify right side
    301,645.48x = 68,969,395,681.83
  5. Step 5: Solve for x
    x = 68,969,395,681.83/301,645.48
  6. Step 6: Final answer
    x = 228,643.89

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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.