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Finding the Fourth Proportional to 283,266.38, 390,974.10 and 162,405.48

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Solution

The fourth proportional to 283,266.38, 390,974.10 and 162,405.48 is: 224,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,266.38 : 390,974.10 = 162,405.48 : x
  2. Step 2: Convert to fraction form
    283,266.38/390,974.10 = 162,405.48/x
  3. Step 3: Cross multiply
    283,266.38x = 390,974.10 × 162,405.48
  4. Step 4: Simplify right side
    283,266.38x = 63,496,336,378.07
  5. Step 5: Solve for x
    x = 63,496,336,378.07/283,266.38
  6. Step 6: Final answer
    x = 224,157.69

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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.