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Finding the Fourth Proportional to 298,811.07, 412,359.27 and 164,675.07

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Solution

The fourth proportional to 298,811.07, 412,359.27 and 164,675.07 is: 227,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,811.07 : 412,359.27 = 164,675.07 : x
  2. Step 2: Convert to fraction form
    298,811.07/412,359.27 = 164,675.07/x
  3. Step 3: Cross multiply
    298,811.07x = 412,359.27 × 164,675.07
  4. Step 4: Simplify right side
    298,811.07x = 67,905,291,652.40
  5. Step 5: Solve for x
    x = 67,905,291,652.40/298,811.07
  6. Step 6: Final answer
    x = 227,251.59

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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.