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Finding the Fourth Proportional to 305,503.38, 421,575.60 and 184,573.20

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Solution

The fourth proportional to 305,503.38, 421,575.60 and 184,573.20 is: 254,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,503.38 : 421,575.60 = 184,573.20 : x
  2. Step 2: Convert to fraction form
    305,503.38/421,575.60 = 184,573.20/x
  3. Step 3: Cross multiply
    305,503.38x = 421,575.60 × 184,573.20
  4. Step 4: Simplify right side
    305,503.38x = 77,811,557,533.92
  5. Step 5: Solve for x
    x = 77,811,557,533.92/305,503.38
  6. Step 6: Final answer
    x = 254,699.50

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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.