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Finding the Fourth Proportional to 397,968.62, 549,107.79 and 333,697.82

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Solution

The fourth proportional to 397,968.62, 549,107.79 and 333,697.82 is: 460,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,968.62 : 549,107.79 = 333,697.82 : x
  2. Step 2: Convert to fraction form
    397,968.62/549,107.79 = 333,697.82/x
  3. Step 3: Cross multiply
    397,968.62x = 549,107.79 × 333,697.82
  4. Step 4: Simplify right side
    397,968.62x = 183,236,072,468.02
  5. Step 5: Solve for x
    x = 183,236,072,468.02/397,968.62
  6. Step 6: Final answer
    x = 460,428.44

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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.