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Finding the Fourth Proportional to 409,322.61, 612,850.32 and 209,212.11

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Solution

The fourth proportional to 409,322.61, 612,850.32 and 209,212.11 is: 313,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,322.61 : 612,850.32 = 209,212.11 : x
  2. Step 2: Convert to fraction form
    409,322.61/612,850.32 = 209,212.11/x
  3. Step 3: Cross multiply
    409,322.61x = 612,850.32 × 209,212.11
  4. Step 4: Simplify right side
    409,322.61x = 128,215,708,561.38
  5. Step 5: Solve for x
    x = 128,215,708,561.38/409,322.61
  6. Step 6: Final answer
    x = 313,238.76

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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.