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Finding the Fourth Proportional to 589,415.70, 813,382.64 and 327,787.06

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Solution

The fourth proportional to 589,415.70, 813,382.64 and 327,787.06 is: 452,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,415.70 : 813,382.64 = 327,787.06 : x
  2. Step 2: Convert to fraction form
    589,415.70/813,382.64 = 327,787.06/x
  3. Step 3: Cross multiply
    589,415.70x = 813,382.64 × 327,787.06
  4. Step 4: Simplify right side
    589,415.70x = 266,616,304,220.64
  5. Step 5: Solve for x
    x = 266,616,304,220.64/589,415.70
  6. Step 6: Final answer
    x = 452,340.01

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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.