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Finding the Fourth Proportional to 273,580.20, 409,568.40 and 194,848.20

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Solution

The fourth proportional to 273,580.20, 409,568.40 and 194,848.20 is: 291,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,580.20 : 409,568.40 = 194,848.20 : x
  2. Step 2: Convert to fraction form
    273,580.20/409,568.40 = 194,848.20/x
  3. Step 3: Cross multiply
    273,580.20x = 409,568.40 × 194,848.20
  4. Step 4: Simplify right side
    273,580.20x = 79,803,665,516.88
  5. Step 5: Solve for x
    x = 79,803,665,516.88/273,580.20
  6. Step 6: Final answer
    x = 291,701.17

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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.