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Finding the Fourth Proportional to 497,438.59, 686,270.38 and 306,119.83

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Solution

The fourth proportional to 497,438.59, 686,270.38 and 306,119.83 is: 422,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,438.59 : 686,270.38 = 306,119.83 : x
  2. Step 2: Convert to fraction form
    497,438.59/686,270.38 = 306,119.83/x
  3. Step 3: Cross multiply
    497,438.59x = 686,270.38 × 306,119.83
  4. Step 4: Simplify right side
    497,438.59x = 210,080,972,059.64
  5. Step 5: Solve for x
    x = 210,080,972,059.64/497,438.59
  6. Step 6: Final answer
    x = 422,325.44

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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.