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Finding the Fourth Proportional to 401,056.26, 601,644.87 and 173,414.17

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Solution

The fourth proportional to 401,056.26, 601,644.87 and 173,414.17 is: 260,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,056.26 : 601,644.87 = 173,414.17 : x
  2. Step 2: Convert to fraction form
    401,056.26/601,644.87 = 173,414.17/x
  3. Step 3: Cross multiply
    401,056.26x = 601,644.87 × 173,414.17
  4. Step 4: Simplify right side
    401,056.26x = 104,333,744,261.70
  5. Step 5: Solve for x
    x = 104,333,744,261.70/401,056.26
  6. Step 6: Final answer
    x = 260,147.40

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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.