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Finding the Fourth Proportional to 401,321.80, 601,982.70 and 164,585.80

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Solution

The fourth proportional to 401,321.80, 601,982.70 and 164,585.80 is: 246,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,321.80 : 601,982.70 = 164,585.80 : x
  2. Step 2: Convert to fraction form
    401,321.80/601,982.70 = 164,585.80/x
  3. Step 3: Cross multiply
    401,321.80x = 601,982.70 × 164,585.80
  4. Step 4: Simplify right side
    401,321.80x = 99,077,804,265.66
  5. Step 5: Solve for x
    x = 99,077,804,265.66/401,321.80
  6. Step 6: Final answer
    x = 246,878.70

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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.