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Finding the Fourth Proportional to 298,544.40, 411,983.28 and 162,575.64

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Solution

The fourth proportional to 298,544.40, 411,983.28 and 162,575.64 is: 224,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,544.40 : 411,983.28 = 162,575.64 : x
  2. Step 2: Convert to fraction form
    298,544.40/411,983.28 = 162,575.64/x
  3. Step 3: Cross multiply
    298,544.40x = 411,983.28 × 162,575.64
  4. Step 4: Simplify right side
    298,544.40x = 66,978,445,415.30
  5. Step 5: Solve for x
    x = 66,978,445,415.30/298,544.40
  6. Step 6: Final answer
    x = 224,350.03

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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.