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Finding the Fourth Proportional to 401,478.40, 601,707.30 and 164,553.40

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Solution

The fourth proportional to 401,478.40, 601,707.30 and 164,553.40 is: 246,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,478.40 : 601,707.30 = 164,553.40 : x
  2. Step 2: Convert to fraction form
    401,478.40/601,707.30 = 164,553.40/x
  3. Step 3: Cross multiply
    401,478.40x = 601,707.30 × 164,553.40
  4. Step 4: Simplify right side
    401,478.40x = 99,012,982,019.82
  5. Step 5: Solve for x
    x = 99,012,982,019.82/401,478.40
  6. Step 6: Final answer
    x = 246,620.94

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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.