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Finding the Fourth Proportional to 298,424.52, 411,825.60 and 164,288.52

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Solution

The fourth proportional to 298,424.52, 411,825.60 and 164,288.52 is: 226,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,424.52 : 411,825.60 = 164,288.52 : x
  2. Step 2: Convert to fraction form
    298,424.52/411,825.60 = 164,288.52/x
  3. Step 3: Cross multiply
    298,424.52x = 411,825.60 × 164,288.52
  4. Step 4: Simplify right side
    298,424.52x = 67,658,218,322.11
  5. Step 5: Solve for x
    x = 67,658,218,322.11/298,424.52
  6. Step 6: Final answer
    x = 226,718.03

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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.