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Finding the Fourth Proportional to 298,765.07, 412,295.85 and 162,799.04

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Solution

The fourth proportional to 298,765.07, 412,295.85 and 162,799.04 is: 224,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765.07 : 412,295.85 = 162,799.04 : x
  2. Step 2: Convert to fraction form
    298,765.07/412,295.85 = 162,799.04/x
  3. Step 3: Cross multiply
    298,765.07x = 412,295.85 × 162,799.04
  4. Step 4: Simplify right side
    298,765.07x = 67,121,366,514.50
  5. Step 5: Solve for x
    x = 67,121,366,514.50/298,765.07
  6. Step 6: Final answer
    x = 224,662.70

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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.