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Finding the Fourth Proportional to 383,816.61, 529,658.43 and 211,734.71

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Solution

The fourth proportional to 383,816.61, 529,658.43 and 211,734.71 is: 292,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,816.61 : 529,658.43 = 211,734.71 : x
  2. Step 2: Convert to fraction form
    383,816.61/529,658.43 = 211,734.71/x
  3. Step 3: Cross multiply
    383,816.61x = 529,658.43 × 211,734.71
  4. Step 4: Simplify right side
    383,816.61x = 112,147,075,399.25
  5. Step 5: Solve for x
    x = 112,147,075,399.25/383,816.61
  6. Step 6: Final answer
    x = 292,189.22

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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.