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Finding the Fourth Proportional to 347,883.82, 480,073.46 and 194,921.40

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Solution

The fourth proportional to 347,883.82, 480,073.46 and 194,921.40 is: 268,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,883.82 : 480,073.46 = 194,921.40 : x
  2. Step 2: Convert to fraction form
    347,883.82/480,073.46 = 194,921.40/x
  3. Step 3: Cross multiply
    347,883.82x = 480,073.46 × 194,921.40
  4. Step 4: Simplify right side
    347,883.82x = 93,576,590,926.04
  5. Step 5: Solve for x
    x = 93,576,590,926.04/347,883.82
  6. Step 6: Final answer
    x = 268,988.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.