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Finding the Fourth Proportional to 356,834, 535,458.36 and 159,842

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Solution

The fourth proportional to 356,834, 535,458.36 and 159,842 is: 239,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,834 : 535,458.36 = 159,842 : x
  2. Step 2: Convert to fraction form
    356,834/535,458.36 = 159,842/x
  3. Step 3: Cross multiply
    356,834x = 535,458.36 × 159,842
  4. Step 4: Simplify right side
    356,834x = 85,588,735,179.12
  5. Step 5: Solve for x
    x = 85,588,735,179.12/356,834
  6. Step 6: Final answer
    x = 239,855.89

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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.