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Finding the Fourth Proportional to 401,433.48, 601,625.34 and 164,498.76

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Solution

The fourth proportional to 401,433.48, 601,625.34 and 164,498.76 is: 246,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,433.48 : 601,625.34 = 164,498.76 : x
  2. Step 2: Convert to fraction form
    401,433.48/601,625.34 = 164,498.76/x
  3. Step 3: Cross multiply
    401,433.48x = 601,625.34 × 164,498.76
  4. Step 4: Simplify right side
    401,433.48x = 98,966,622,414.58
  5. Step 5: Solve for x
    x = 98,966,622,414.58/401,433.48
  6. Step 6: Final answer
    x = 246,533.06

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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.