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Finding the Fourth Proportional to 298,269.64, 411,612.15 and 164,133.64

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Solution

The fourth proportional to 298,269.64, 411,612.15 and 164,133.64 is: 226,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,269.64 : 411,612.15 = 164,133.64 : x
  2. Step 2: Convert to fraction form
    298,269.64/411,612.15 = 164,133.64/x
  3. Step 3: Cross multiply
    298,269.64x = 411,612.15 × 164,133.64
  4. Step 4: Simplify right side
    298,269.64x = 67,559,400,447.73
  5. Step 5: Solve for x
    x = 67,559,400,447.73/298,269.64
  6. Step 6: Final answer
    x = 226,504.45

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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.