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Finding the Fourth Proportional to 340,284.38, 469,592.44 and 189,417.02

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Solution

The fourth proportional to 340,284.38, 469,592.44 and 189,417.02 is: 261,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,284.38 : 469,592.44 = 189,417.02 : x
  2. Step 2: Convert to fraction form
    340,284.38/469,592.44 = 189,417.02/x
  3. Step 3: Cross multiply
    340,284.38x = 469,592.44 × 189,417.02
  4. Step 4: Simplify right side
    340,284.38x = 88,948,797,777.82
  5. Step 5: Solve for x
    x = 88,948,797,777.82/340,284.38
  6. Step 6: Final answer
    x = 261,395.48

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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.