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Finding the Fourth Proportional to 379,468.81, 523,646.34 and 209,692

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Solution

The fourth proportional to 379,468.81, 523,646.34 and 209,692 is: 289,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,468.81 : 523,646.34 = 209,692 : x
  2. Step 2: Convert to fraction form
    379,468.81/523,646.34 = 209,692/x
  3. Step 3: Cross multiply
    379,468.81x = 523,646.34 × 209,692
  4. Step 4: Simplify right side
    379,468.81x = 109,804,448,327.28
  5. Step 5: Solve for x
    x = 109,804,448,327.28/379,468.81
  6. Step 6: Final answer
    x = 289,363.57

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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.