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Finding the Fourth Proportional to 301,779.52, 416,487.36 and 167,643.52

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Solution

The fourth proportional to 301,779.52, 416,487.36 and 167,643.52 is: 231,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,779.52 : 416,487.36 = 167,643.52 : x
  2. Step 2: Convert to fraction form
    301,779.52/416,487.36 = 167,643.52/x
  3. Step 3: Cross multiply
    301,779.52x = 416,487.36 × 167,643.52
  4. Step 4: Simplify right side
    301,779.52x = 69,821,407,065.91
  5. Step 5: Solve for x
    x = 69,821,407,065.91/301,779.52
  6. Step 6: Final answer
    x = 231,365.62

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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.