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Finding the Fourth Proportional to 301,024.30, 415,432.17 and 166,888.30

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Solution

The fourth proportional to 301,024.30, 415,432.17 and 166,888.30 is: 230,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.30 : 415,432.17 = 166,888.30 : x
  2. Step 2: Convert to fraction form
    301,024.30/415,432.17 = 166,888.30/x
  3. Step 3: Cross multiply
    301,024.30x = 415,432.17 × 166,888.30
  4. Step 4: Simplify right side
    301,024.30x = 69,330,768,616.61
  5. Step 5: Solve for x
    x = 69,330,768,616.61/301,024.30
  6. Step 6: Final answer
    x = 230,316.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.