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Finding the Fourth Proportional to 416,250.72, 574,427.76 and 225,264.09

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Solution

The fourth proportional to 416,250.72, 574,427.76 and 225,264.09 is: 310,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,250.72 : 574,427.76 = 225,264.09 : x
  2. Step 2: Convert to fraction form
    416,250.72/574,427.76 = 225,264.09/x
  3. Step 3: Cross multiply
    416,250.72x = 574,427.76 × 225,264.09
  4. Step 4: Simplify right side
    416,250.72x = 129,397,946,627.14
  5. Step 5: Solve for x
    x = 129,397,946,627.14/416,250.72
  6. Step 6: Final answer
    x = 310,865.40

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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.