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Finding the Fourth Proportional to 273,664, 410,159.04 and 194,348.80

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Solution

The fourth proportional to 273,664, 410,159.04 and 194,348.80 is: 291,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,664 : 410,159.04 = 194,348.80 : x
  2. Step 2: Convert to fraction form
    273,664/410,159.04 = 194,348.80/x
  3. Step 3: Cross multiply
    273,664x = 410,159.04 × 194,348.80
  4. Step 4: Simplify right side
    273,664x = 79,713,917,233.15
  5. Step 5: Solve for x
    x = 79,713,917,233.15/273,664
  6. Step 6: Final answer
    x = 291,283.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.