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Finding the Fourth Proportional to 297,978.12, 411,224.58 and 184,837.32

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Solution

The fourth proportional to 297,978.12, 411,224.58 and 184,837.32 is: 255,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,978.12 : 411,224.58 = 184,837.32 : x
  2. Step 2: Convert to fraction form
    297,978.12/411,224.58 = 184,837.32/x
  3. Step 3: Cross multiply
    297,978.12x = 411,224.58 × 184,837.32
  4. Step 4: Simplify right side
    297,978.12x = 76,009,649,285.33
  5. Step 5: Solve for x
    x = 76,009,649,285.33/297,978.12
  6. Step 6: Final answer
    x = 255,084.67

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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.