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Finding the Fourth Proportional to 599,460, 827,278.56 and 344,810.88

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Solution

The fourth proportional to 599,460, 827,278.56 and 344,810.88 is: 475,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,460 : 827,278.56 = 344,810.88 : x
  2. Step 2: Convert to fraction form
    599,460/827,278.56 = 344,810.88/x
  3. Step 3: Cross multiply
    599,460x = 827,278.56 × 344,810.88
  4. Step 4: Simplify right side
    599,460x = 285,254,648,278.73
  5. Step 5: Solve for x
    x = 285,254,648,278.73/599,460
  6. Step 6: Final answer
    x = 475,852.68

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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.