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Finding the Fourth Proportional to 273,259.40, 409,946.70 and 115,406.60

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Solution

The fourth proportional to 273,259.40, 409,946.70 and 115,406.60 is: 173,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,259.40 : 409,946.70 = 115,406.60 : x
  2. Step 2: Convert to fraction form
    273,259.40/409,946.70 = 115,406.60/x
  3. Step 3: Cross multiply
    273,259.40x = 409,946.70 × 115,406.60
  4. Step 4: Simplify right side
    273,259.40x = 47,310,554,828.22
  5. Step 5: Solve for x
    x = 47,310,554,828.22/273,259.40
  6. Step 6: Final answer
    x = 173,134.23

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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.