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Finding the Fourth Proportional to 401,057.26, 601,646.37 and 173,415.17

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Solution

The fourth proportional to 401,057.26, 601,646.37 and 173,415.17 is: 260,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,057.26 : 601,646.37 = 173,415.17 : x
  2. Step 2: Convert to fraction form
    401,057.26/601,646.37 = 173,415.17/x
  3. Step 3: Cross multiply
    401,057.26x = 601,646.37 × 173,415.17
  4. Step 4: Simplify right side
    401,057.26x = 104,334,607,533.43
  5. Step 5: Solve for x
    x = 104,334,607,533.43/401,057.26
  6. Step 6: Final answer
    x = 260,148.91

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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.