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Finding the Fourth Proportional to 596,076.64, 822,569.36 and 327,804.64

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Solution

The fourth proportional to 596,076.64, 822,569.36 and 327,804.64 is: 452,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,076.64 : 822,569.36 = 327,804.64 : x
  2. Step 2: Convert to fraction form
    596,076.64/822,569.36 = 327,804.64/x
  3. Step 3: Cross multiply
    596,076.64x = 822,569.36 × 327,804.64
  4. Step 4: Simplify right side
    596,076.64x = 269,642,052,929.83
  5. Step 5: Solve for x
    x = 269,642,052,929.83/596,076.64
  6. Step 6: Final answer
    x = 452,361.38

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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.