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Finding the Fourth Proportional to 354,344.74, 530,590.57 and 194,087.30

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Solution

The fourth proportional to 354,344.74, 530,590.57 and 194,087.30 is: 290,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,344.74 : 530,590.57 = 194,087.30 : x
  2. Step 2: Convert to fraction form
    354,344.74/530,590.57 = 194,087.30/x
  3. Step 3: Cross multiply
    354,344.74x = 530,590.57 × 194,087.30
  4. Step 4: Simplify right side
    354,344.74x = 102,980,887,998.59
  5. Step 5: Solve for x
    x = 102,980,887,998.59/354,344.74
  6. Step 6: Final answer
    x = 290,623.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.