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Finding the Fourth Proportional to 298,283.50, 411,632.04 and 164,147.50

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Solution

The fourth proportional to 298,283.50, 411,632.04 and 164,147.50 is: 226,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,283.50 : 411,632.04 = 164,147.50 : x
  2. Step 2: Convert to fraction form
    298,283.50/411,632.04 = 164,147.50/x
  3. Step 3: Cross multiply
    298,283.50x = 411,632.04 × 164,147.50
  4. Step 4: Simplify right side
    298,283.50x = 67,568,370,285.90
  5. Step 5: Solve for x
    x = 67,568,370,285.90/298,283.50
  6. Step 6: Final answer
    x = 226,524.00

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Why These Related Problems?

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