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Finding the Fourth Proportional to 282,662.30, 423,859.80 and 164,369.90

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Solution

The fourth proportional to 282,662.30, 423,859.80 and 164,369.90 is: 246,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,662.30 : 423,859.80 = 164,369.90 : x
  2. Step 2: Convert to fraction form
    282,662.30/423,859.80 = 164,369.90/x
  3. Step 3: Cross multiply
    282,662.30x = 423,859.80 × 164,369.90
  4. Step 4: Simplify right side
    282,662.30x = 69,669,792,940.02
  5. Step 5: Solve for x
    x = 69,669,792,940.02/282,662.30
  6. Step 6: Final answer
    x = 246,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.