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Finding the Fourth Proportional to 301,366, 415,904.52 and 167,230

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Solution

The fourth proportional to 301,366, 415,904.52 and 167,230 is: 230,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,366 : 415,904.52 = 167,230 : x
  2. Step 2: Convert to fraction form
    301,366/415,904.52 = 167,230/x
  3. Step 3: Cross multiply
    301,366x = 415,904.52 × 167,230
  4. Step 4: Simplify right side
    301,366x = 69,551,712,879.60
  5. Step 5: Solve for x
    x = 69,551,712,879.60/301,366
  6. Step 6: Final answer
    x = 230,788.19

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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.