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Finding the Fourth Proportional to 285,076.74, 393,416.38 and 184,474.74

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Solution

The fourth proportional to 285,076.74, 393,416.38 and 184,474.74 is: 254,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,076.74 : 393,416.38 = 184,474.74 : x
  2. Step 2: Convert to fraction form
    285,076.74/393,416.38 = 184,474.74/x
  3. Step 3: Cross multiply
    285,076.74x = 393,416.38 × 184,474.74
  4. Step 4: Simplify right side
    285,076.74x = 72,575,384,412.24
  5. Step 5: Solve for x
    x = 72,575,384,412.24/285,076.74
  6. Step 6: Final answer
    x = 254,581.92

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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.