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Finding the Fourth Proportional to 610,354.50, 842,299.36 and 338,433.88

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Solution

The fourth proportional to 610,354.50, 842,299.36 and 338,433.88 is: 467,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,354.50 : 842,299.36 = 338,433.88 : x
  2. Step 2: Convert to fraction form
    610,354.50/842,299.36 = 338,433.88/x
  3. Step 3: Cross multiply
    610,354.50x = 842,299.36 × 338,433.88
  4. Step 4: Simplify right side
    610,354.50x = 285,062,640,526.32
  5. Step 5: Solve for x
    x = 285,062,640,526.32/610,354.50
  6. Step 6: Final answer
    x = 467,044.38

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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.