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Finding the Fourth Proportional to 416,194.56, 574,283.52 and 237,312

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Solution

The fourth proportional to 416,194.56, 574,283.52 and 237,312 is: 327,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,194.56 : 574,283.52 = 237,312 : x
  2. Step 2: Convert to fraction form
    416,194.56/574,283.52 = 237,312/x
  3. Step 3: Cross multiply
    416,194.56x = 574,283.52 × 237,312
  4. Step 4: Simplify right side
    416,194.56x = 136,284,370,698.24
  5. Step 5: Solve for x
    x = 136,284,370,698.24/416,194.56
  6. Step 6: Final answer
    x = 327,453.51

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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.