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Finding the Fourth Proportional to 826,311, 1,239,673.86 and 235,335

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Solution

The fourth proportional to 826,311, 1,239,673.86 and 235,335 is: 353,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,311 : 1,239,673.86 = 235,335 : x
  2. Step 2: Convert to fraction form
    826,311/1,239,673.86 = 235,335/x
  3. Step 3: Cross multiply
    826,311x = 1,239,673.86 × 235,335
  4. Step 4: Simplify right side
    826,311x = 291,738,647,843.10
  5. Step 5: Solve for x
    x = 291,738,647,843.10/826,311
  6. Step 6: Final answer
    x = 353,061.56

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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.