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Finding the Fourth Proportional to 298,712.89, 412,223.61 and 164,576.89

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Solution

The fourth proportional to 298,712.89, 412,223.61 and 164,576.89 is: 227,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,712.89 : 412,223.61 = 164,576.89 : x
  2. Step 2: Convert to fraction form
    298,712.89/412,223.61 = 164,576.89/x
  3. Step 3: Cross multiply
    298,712.89x = 412,223.61 × 164,576.89
  4. Step 4: Simplify right side
    298,712.89x = 67,842,479,718.37
  5. Step 5: Solve for x
    x = 67,842,479,718.37/298,712.89
  6. Step 6: Final answer
    x = 227,116.01

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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.