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Finding the Fourth Proportional to 531,806.21, 733,902.83 and 290,097.65

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Solution

The fourth proportional to 531,806.21, 733,902.83 and 290,097.65 is: 400,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,806.21 : 733,902.83 = 290,097.65 : x
  2. Step 2: Convert to fraction form
    531,806.21/733,902.83 = 290,097.65/x
  3. Step 3: Cross multiply
    531,806.21x = 733,902.83 × 290,097.65
  4. Step 4: Simplify right side
    531,806.21x = 212,903,487,783.49
  5. Step 5: Solve for x
    x = 212,903,487,783.49/531,806.21
  6. Step 6: Final answer
    x = 400,340.36

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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.