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Finding the Fourth Proportional to 298,076.60, 411,343.98 and 163,940.60

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Solution

The fourth proportional to 298,076.60, 411,343.98 and 163,940.60 is: 226,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,076.60 : 411,343.98 = 163,940.60 : x
  2. Step 2: Convert to fraction form
    298,076.60/411,343.98 = 163,940.60/x
  3. Step 3: Cross multiply
    298,076.60x = 411,343.98 × 163,940.60
  4. Step 4: Simplify right side
    298,076.60x = 67,435,978,887.59
  5. Step 5: Solve for x
    x = 67,435,978,887.59/298,076.60
  6. Step 6: Final answer
    x = 226,237.08

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1.5x scale

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.