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Finding the Fourth Proportional to 298,764.57, 412,295.16 and 162,798.54

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Solution

The fourth proportional to 298,764.57, 412,295.16 and 162,798.54 is: 224,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,764.57 : 412,295.16 = 162,798.54 : x
  2. Step 2: Convert to fraction form
    298,764.57/412,295.16 = 162,798.54/x
  3. Step 3: Cross multiply
    298,764.57x = 412,295.16 × 162,798.54
  4. Step 4: Simplify right side
    298,764.57x = 67,121,050,097.07
  5. Step 5: Solve for x
    x = 67,121,050,097.07/298,764.57
  6. Step 6: Final answer
    x = 224,662.01

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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.