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Finding the Fourth Proportional to 298,594.89, 412,054.65 and 162,631.26

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Solution

The fourth proportional to 298,594.89, 412,054.65 and 162,631.26 is: 224,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,594.89 : 412,054.65 = 162,631.26 : x
  2. Step 2: Convert to fraction form
    298,594.89/412,054.65 = 162,631.26/x
  3. Step 3: Cross multiply
    298,594.89x = 412,054.65 × 162,631.26
  4. Step 4: Simplify right side
    298,594.89x = 67,012,966,918.36
  5. Step 5: Solve for x
    x = 67,012,966,918.36/298,594.89
  6. Step 6: Final answer
    x = 224,427.71

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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.