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Finding the Fourth Proportional to 298,220.72, 411,544.44 and 164,083.76

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Solution

The fourth proportional to 298,220.72, 411,544.44 and 164,083.76 is: 226,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,220.72 : 411,544.44 = 164,083.76 : x
  2. Step 2: Convert to fraction form
    298,220.72/411,544.44 = 164,083.76/x
  3. Step 3: Cross multiply
    298,220.72x = 411,544.44 × 164,083.76
  4. Step 4: Simplify right side
    298,220.72x = 67,527,759,122.29
  5. Step 5: Solve for x
    x = 67,527,759,122.29/298,220.72
  6. Step 6: Final answer
    x = 226,435.50

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1.5x scale

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.