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Finding the Fourth Proportional to 564,845, 779,291.20 and 361,015.24

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Solution

The fourth proportional to 564,845, 779,291.20 and 361,015.24 is: 498,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,845 : 779,291.20 = 361,015.24 : x
  2. Step 2: Convert to fraction form
    564,845/779,291.20 = 361,015.24/x
  3. Step 3: Cross multiply
    564,845x = 779,291.20 × 361,015.24
  4. Step 4: Simplify right side
    564,845x = 281,335,999,597.89
  5. Step 5: Solve for x
    x = 281,335,999,597.89/564,845
  6. Step 6: Final answer
    x = 498,076.46

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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.