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Finding the Fourth Proportional to 305,218.68, 421,223.34 and 169,265.64

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Solution

The fourth proportional to 305,218.68, 421,223.34 and 169,265.64 is: 233,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,218.68 : 421,223.34 = 169,265.64 : x
  2. Step 2: Convert to fraction form
    305,218.68/421,223.34 = 169,265.64/x
  3. Step 3: Cross multiply
    305,218.68x = 421,223.34 × 169,265.64
  4. Step 4: Simplify right side
    305,218.68x = 71,298,638,228.04
  5. Step 5: Solve for x
    x = 71,298,638,228.04/305,218.68
  6. Step 6: Final answer
    x = 233,598.54

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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.