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Finding the Fourth Proportional to 400,983.50, 601,008.69 and 164,039.06

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Solution

The fourth proportional to 400,983.50, 601,008.69 and 164,039.06 is: 245,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,983.50 : 601,008.69 = 164,039.06 : x
  2. Step 2: Convert to fraction form
    400,983.50/601,008.69 = 164,039.06/x
  3. Step 3: Cross multiply
    400,983.50x = 601,008.69 × 164,039.06
  4. Step 4: Simplify right side
    400,983.50x = 98,588,900,559.43
  5. Step 5: Solve for x
    x = 98,588,900,559.43/400,983.50
  6. Step 6: Final answer
    x = 245,867.72

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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.