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Finding the Fourth Proportional to 273,422.40, 410,133.60 and 194,690.40

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Solution

The fourth proportional to 273,422.40, 410,133.60 and 194,690.40 is: 292,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,422.40 : 410,133.60 = 194,690.40 : x
  2. Step 2: Convert to fraction form
    273,422.40/410,133.60 = 194,690.40/x
  3. Step 3: Cross multiply
    273,422.40x = 410,133.60 × 194,690.40
  4. Step 4: Simplify right side
    273,422.40x = 79,849,074,637.44
  5. Step 5: Solve for x
    x = 79,849,074,637.44/273,422.40
  6. Step 6: Final answer
    x = 292,035.60

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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.