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Finding the Fourth Proportional to 298,963.69, 412,569.90 and 164,827.69

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Solution

The fourth proportional to 298,963.69, 412,569.90 and 164,827.69 is: 227,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963.69 : 412,569.90 = 164,827.69 : x
  2. Step 2: Convert to fraction form
    298,963.69/412,569.90 = 164,827.69/x
  3. Step 3: Cross multiply
    298,963.69x = 412,569.90 × 164,827.69
  4. Step 4: Simplify right side
    298,963.69x = 68,002,942,549.11
  5. Step 5: Solve for x
    x = 68,002,942,549.11/298,963.69
  6. Step 6: Final answer
    x = 227,462.21

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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.