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Finding the Fourth Proportional to 610,353, 842,297.28 and 338,432.37

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Solution

The fourth proportional to 610,353, 842,297.28 and 338,432.37 is: 467,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,353 : 842,297.28 = 338,432.37 : x
  2. Step 2: Convert to fraction form
    610,353/842,297.28 = 338,432.37/x
  3. Step 3: Cross multiply
    610,353x = 842,297.28 × 338,432.37
  4. Step 4: Simplify right side
    610,353x = 285,060,664,714.95
  5. Step 5: Solve for x
    x = 285,060,664,714.95/610,353
  6. Step 6: Final answer
    x = 467,042.29

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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.