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Finding the Fourth Proportional to 301,956.83, 416,701.77 and 165,999.53

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Solution

The fourth proportional to 301,956.83, 416,701.77 and 165,999.53 is: 229,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,956.83 : 416,701.77 = 165,999.53 : x
  2. Step 2: Convert to fraction form
    301,956.83/416,701.77 = 165,999.53/x
  3. Step 3: Cross multiply
    301,956.83x = 416,701.77 × 165,999.53
  4. Step 4: Simplify right side
    301,956.83x = 69,172,295,886.66
  5. Step 5: Solve for x
    x = 69,172,295,886.66/301,956.83
  6. Step 6: Final answer
    x = 229,080.09

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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.