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Finding the Fourth Proportional to 400,497.40, 601,086.30 and 164,009.80

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Solution

The fourth proportional to 400,497.40, 601,086.30 and 164,009.80 is: 246,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,497.40 : 601,086.30 = 164,009.80 : x
  2. Step 2: Convert to fraction form
    400,497.40/601,086.30 = 164,009.80/x
  3. Step 3: Cross multiply
    400,497.40x = 601,086.30 × 164,009.80
  4. Step 4: Simplify right side
    400,497.40x = 98,584,043,845.74
  5. Step 5: Solve for x
    x = 98,584,043,845.74/400,497.40
  6. Step 6: Final answer
    x = 246,154.02

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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.