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Finding the Fourth Proportional to 590,398.74, 814,691.25 and 345,347.46

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Solution

The fourth proportional to 590,398.74, 814,691.25 and 345,347.46 is: 476,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,398.74 : 814,691.25 = 345,347.46 : x
  2. Step 2: Convert to fraction form
    590,398.74/814,691.25 = 345,347.46/x
  3. Step 3: Cross multiply
    590,398.74x = 814,691.25 × 345,347.46
  4. Step 4: Simplify right side
    590,398.74x = 281,351,553,871.73
  5. Step 5: Solve for x
    x = 281,351,553,871.73/590,398.74
  6. Step 6: Final answer
    x = 476,544.98

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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.