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Finding the Fourth Proportional to 403,871.60, 605,588.70 and 166,946.60

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Solution

The fourth proportional to 403,871.60, 605,588.70 and 166,946.60 is: 250,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,871.60 : 605,588.70 = 166,946.60 : x
  2. Step 2: Convert to fraction form
    403,871.60/605,588.70 = 166,946.60/x
  3. Step 3: Cross multiply
    403,871.60x = 605,588.70 × 166,946.60
  4. Step 4: Simplify right side
    403,871.60x = 101,100,974,463.42
  5. Step 5: Solve for x
    x = 101,100,974,463.42/403,871.60
  6. Step 6: Final answer
    x = 250,329.50

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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.