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Finding the Fourth Proportional to 298,712.61, 412,223.58 and 164,576.61

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Solution

The fourth proportional to 298,712.61, 412,223.58 and 164,576.61 is: 227,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,712.61 : 412,223.58 = 164,576.61 : x
  2. Step 2: Convert to fraction form
    298,712.61/412,223.58 = 164,576.61/x
  3. Step 3: Cross multiply
    298,712.61x = 412,223.58 × 164,576.61
  4. Step 4: Simplify right side
    298,712.61x = 67,842,359,358.46
  5. Step 5: Solve for x
    x = 67,842,359,358.46/298,712.61
  6. Step 6: Final answer
    x = 227,115.82

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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.