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Finding the Fourth Proportional to 298,437.40, 411,830.19 and 162,467.86

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Solution

The fourth proportional to 298,437.40, 411,830.19 and 162,467.86 is: 224,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,437.40 : 411,830.19 = 162,467.86 : x
  2. Step 2: Convert to fraction form
    298,437.40/411,830.19 = 162,467.86/x
  3. Step 3: Cross multiply
    298,437.40x = 411,830.19 × 162,467.86
  4. Step 4: Simplify right side
    298,437.40x = 66,909,169,652.69
  5. Step 5: Solve for x
    x = 66,909,169,652.69/298,437.40
  6. Step 6: Final answer
    x = 224,198.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.