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Finding the Fourth Proportional to 298,798.06, 412,330.86 and 162,829.24

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Solution

The fourth proportional to 298,798.06, 412,330.86 and 162,829.24 is: 224,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,798.06 : 412,330.86 = 162,829.24 : x
  2. Step 2: Convert to fraction form
    298,798.06/412,330.86 = 162,829.24/x
  3. Step 3: Cross multiply
    298,798.06x = 412,330.86 × 162,829.24
  4. Step 4: Simplify right side
    298,798.06x = 67,139,520,562.35
  5. Step 5: Solve for x
    x = 67,139,520,562.35/298,798.06
  6. Step 6: Final answer
    x = 224,698.65

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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.