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Finding the Fourth Proportional to 301,648.95, 416,278.94 and 165,686.05

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Solution

The fourth proportional to 301,648.95, 416,278.94 and 165,686.05 is: 228,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,648.95 : 416,278.94 = 165,686.05 : x
  2. Step 2: Convert to fraction form
    301,648.95/416,278.94 = 165,686.05/x
  3. Step 3: Cross multiply
    301,648.95x = 416,278.94 × 165,686.05
  4. Step 4: Simplify right side
    301,648.95x = 68,971,612,640.30
  5. Step 5: Solve for x
    x = 68,971,612,640.30/301,648.95
  6. Step 6: Final answer
    x = 228,648.61

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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.