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Finding the Fourth Proportional to 301,670.54, 416,304.59 and 165,704.15

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Solution

The fourth proportional to 301,670.54, 416,304.59 and 165,704.15 is: 228,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,670.54 : 416,304.59 = 165,704.15 : x
  2. Step 2: Convert to fraction form
    301,670.54/416,304.59 = 165,704.15/x
  3. Step 3: Cross multiply
    301,670.54x = 416,304.59 × 165,704.15
  4. Step 4: Simplify right side
    301,670.54x = 68,983,395,317.00
  5. Step 5: Solve for x
    x = 68,983,395,317.00/301,670.54
  6. Step 6: Final answer
    x = 228,671.31

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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.