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Finding the Fourth Proportional to 355,657.59, 491,286.74 and 284,546.07

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Solution

The fourth proportional to 355,657.59, 491,286.74 and 284,546.07 is: 393,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,657.59 : 491,286.74 = 284,546.07 : x
  2. Step 2: Convert to fraction form
    355,657.59/491,286.74 = 284,546.07/x
  3. Step 3: Cross multiply
    355,657.59x = 491,286.74 × 284,546.07
  4. Step 4: Simplify right side
    355,657.59x = 139,793,709,687.38
  5. Step 5: Solve for x
    x = 139,793,709,687.38/355,657.59
  6. Step 6: Final answer
    x = 393,057.01

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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.