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Finding the Fourth Proportional to 301,308.59, 415,804.73 and 165,344.83

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Solution

The fourth proportional to 301,308.59, 415,804.73 and 165,344.83 is: 228,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,308.59 : 415,804.73 = 165,344.83 : x
  2. Step 2: Convert to fraction form
    301,308.59/415,804.73 = 165,344.83/x
  3. Step 3: Cross multiply
    301,308.59x = 415,804.73 × 165,344.83
  4. Step 4: Simplify right side
    301,308.59x = 68,751,160,528.81
  5. Step 5: Solve for x
    x = 68,751,160,528.81/301,308.59
  6. Step 6: Final answer
    x = 228,175.24

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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.