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Finding the Fourth Proportional to 589,757.84, 813,397.71 and 382,799.98

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Solution

The fourth proportional to 589,757.84, 813,397.71 and 382,799.98 is: 527,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,757.84 : 813,397.71 = 382,799.98 : x
  2. Step 2: Convert to fraction form
    589,757.84/813,397.71 = 382,799.98/x
  3. Step 3: Cross multiply
    589,757.84x = 813,397.71 × 382,799.98
  4. Step 4: Simplify right side
    589,757.84x = 311,368,627,120.05
  5. Step 5: Solve for x
    x = 311,368,627,120.05/589,757.84
  6. Step 6: Final answer
    x = 527,960.13

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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.