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Finding the Fourth Proportional to 401,342.80, 602,014.20 and 164,606.80

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Solution

The fourth proportional to 401,342.80, 602,014.20 and 164,606.80 is: 246,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,342.80 : 602,014.20 = 164,606.80 : x
  2. Step 2: Convert to fraction form
    401,342.80/602,014.20 = 164,606.80/x
  3. Step 3: Cross multiply
    401,342.80x = 602,014.20 × 164,606.80
  4. Step 4: Simplify right side
    401,342.80x = 99,095,631,016.56
  5. Step 5: Solve for x
    x = 99,095,631,016.56/401,342.80
  6. Step 6: Final answer
    x = 246,910.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.