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Finding the Fourth Proportional to 433,145.08, 649,717.62 and 211,339

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Solution

The fourth proportional to 433,145.08, 649,717.62 and 211,339 is: 317,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,145.08 : 649,717.62 = 211,339 : x
  2. Step 2: Convert to fraction form
    433,145.08/649,717.62 = 211,339/x
  3. Step 3: Cross multiply
    433,145.08x = 649,717.62 × 211,339
  4. Step 4: Simplify right side
    433,145.08x = 137,310,672,093.18
  5. Step 5: Solve for x
    x = 137,310,672,093.18/433,145.08
  6. Step 6: Final answer
    x = 317,008.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.