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Finding the Fourth Proportional to 298,483.64, 411,893.64 and 162,517.16

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Solution

The fourth proportional to 298,483.64, 411,893.64 and 162,517.16 is: 224,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,483.64 : 411,893.64 = 162,517.16 : x
  2. Step 2: Convert to fraction form
    298,483.64/411,893.64 = 162,517.16/x
  3. Step 3: Cross multiply
    298,483.64x = 411,893.64 × 162,517.16
  4. Step 4: Simplify right side
    298,483.64x = 66,939,784,594.86
  5. Step 5: Solve for x
    x = 66,939,784,594.86/298,483.64
  6. Step 6: Final answer
    x = 224,266.18

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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.