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Finding the Fourth Proportional to 298,666.41, 412,159.47 and 164,530.41

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Solution

The fourth proportional to 298,666.41, 412,159.47 and 164,530.41 is: 227,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,666.41 : 412,159.47 = 164,530.41 : x
  2. Step 2: Convert to fraction form
    298,666.41/412,159.47 = 164,530.41/x
  3. Step 3: Cross multiply
    298,666.41x = 412,159.47 × 164,530.41
  4. Step 4: Simplify right side
    298,666.41x = 67,812,766,584.48
  5. Step 5: Solve for x
    x = 67,812,766,584.48/298,666.41
  6. Step 6: Final answer
    x = 227,051.87

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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.