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Finding the Fourth Proportional to 401,324.10, 601,986.15 and 164,544.90

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Solution

The fourth proportional to 401,324.10, 601,986.15 and 164,544.90 is: 246,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,324.10 : 601,986.15 = 164,544.90 : x
  2. Step 2: Convert to fraction form
    401,324.10/601,986.15 = 164,544.90/x
  3. Step 3: Cross multiply
    401,324.10x = 601,986.15 × 164,544.90
  4. Step 4: Simplify right side
    401,324.10x = 99,053,750,853.14
  5. Step 5: Solve for x
    x = 99,053,750,853.14/401,324.10
  6. Step 6: Final answer
    x = 246,817.35

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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.