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Finding the Fourth Proportional to 298,285.19, 411,633.63 and 164,149.19

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Solution

The fourth proportional to 298,285.19, 411,633.63 and 164,149.19 is: 226,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.19 : 411,633.63 = 164,149.19 : x
  2. Step 2: Convert to fraction form
    298,285.19/411,633.63 = 164,149.19/x
  3. Step 3: Cross multiply
    298,285.19x = 411,633.63 × 164,149.19
  4. Step 4: Simplify right side
    298,285.19x = 67,569,326,941.26
  5. Step 5: Solve for x
    x = 67,569,326,941.26/298,285.19
  6. Step 6: Final answer
    x = 226,525.92

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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.