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Finding the Fourth Proportional to 409,561.50, 565,148.14 and 237,443.57

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Solution

The fourth proportional to 409,561.50, 565,148.14 and 237,443.57 is: 327,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,561.50 : 565,148.14 = 237,443.57 : x
  2. Step 2: Convert to fraction form
    409,561.50/565,148.14 = 237,443.57/x
  3. Step 3: Cross multiply
    409,561.50x = 565,148.14 × 237,443.57
  4. Step 4: Simplify right side
    409,561.50x = 134,190,791,940.46
  5. Step 5: Solve for x
    x = 134,190,791,940.46/409,561.50
  6. Step 6: Final answer
    x = 327,645.03

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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.