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Finding the Fourth Proportional to 298,040.32, 411,287.44 and 163,904.32

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Solution

The fourth proportional to 298,040.32, 411,287.44 and 163,904.32 is: 226,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,040.32 : 411,287.44 = 163,904.32 : x
  2. Step 2: Convert to fraction form
    298,040.32/411,287.44 = 163,904.32/x
  3. Step 3: Cross multiply
    298,040.32x = 411,287.44 × 163,904.32
  4. Step 4: Simplify right side
    298,040.32x = 67,411,788,177.74
  5. Step 5: Solve for x
    x = 67,411,788,177.74/298,040.32
  6. Step 6: Final answer
    x = 226,183.45

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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.