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Finding the Fourth Proportional to 416,959.56, 625,316.64 and 189,123.36

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Solution

The fourth proportional to 416,959.56, 625,316.64 and 189,123.36 is: 283,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,959.56 : 625,316.64 = 189,123.36 : x
  2. Step 2: Convert to fraction form
    416,959.56/625,316.64 = 189,123.36/x
  3. Step 3: Cross multiply
    416,959.56x = 625,316.64 × 189,123.36
  4. Step 4: Simplify right side
    416,959.56x = 118,261,984,020.71
  5. Step 5: Solve for x
    x = 118,261,984,020.71/416,959.56
  6. Step 6: Final answer
    x = 283,629.39

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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.