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Finding the Fourth Proportional to 610,460.06, 842,478 and 338,553.96

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Solution

The fourth proportional to 610,460.06, 842,478 and 338,553.96 is: 467,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,460.06 : 842,478 = 338,553.96 : x
  2. Step 2: Convert to fraction form
    610,460.06/842,478 = 338,553.96/x
  3. Step 3: Cross multiply
    610,460.06x = 842,478 × 338,553.96
  4. Step 4: Simplify right side
    610,460.06x = 285,224,263,112.88
  5. Step 5: Solve for x
    x = 285,224,263,112.88/610,460.06
  6. Step 6: Final answer
    x = 467,228.38

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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.