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Finding the Fourth Proportional to 298,811.69, 412,360.13 and 164,675.69

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Solution

The fourth proportional to 298,811.69, 412,360.13 and 164,675.69 is: 227,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,811.69 : 412,360.13 = 164,675.69 : x
  2. Step 2: Convert to fraction form
    298,811.69/412,360.13 = 164,675.69/x
  3. Step 3: Cross multiply
    298,811.69x = 412,360.13 × 164,675.69
  4. Step 4: Simplify right side
    298,811.69x = 67,905,687,905.34
  5. Step 5: Solve for x
    x = 67,905,687,905.34/298,811.69
  6. Step 6: Final answer
    x = 227,252.45

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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.