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Finding the Fourth Proportional to 401,047.40, 601,571.10 and 164,559.80

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Solution

The fourth proportional to 401,047.40, 601,571.10 and 164,559.80 is: 246,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,047.40 : 601,571.10 = 164,559.80 : x
  2. Step 2: Convert to fraction form
    401,047.40/601,571.10 = 164,559.80/x
  3. Step 3: Cross multiply
    401,047.40x = 601,571.10 × 164,559.80
  4. Step 4: Simplify right side
    401,047.40x = 98,994,419,901.78
  5. Step 5: Solve for x
    x = 98,994,419,901.78/401,047.40
  6. Step 6: Final answer
    x = 246,839.70

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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.