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Finding the Fourth Proportional to 301,758.54, 416,426.88 and 165,801.18

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Solution

The fourth proportional to 301,758.54, 416,426.88 and 165,801.18 is: 228,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,758.54 : 416,426.88 = 165,801.18 : x
  2. Step 2: Convert to fraction form
    301,758.54/416,426.88 = 165,801.18/x
  3. Step 3: Cross multiply
    301,758.54x = 416,426.88 × 165,801.18
  4. Step 4: Simplify right side
    301,758.54x = 69,044,068,087.72
  5. Step 5: Solve for x
    x = 69,044,068,087.72/301,758.54
  6. Step 6: Final answer
    x = 228,805.68

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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.