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Finding the Fourth Proportional to 314,898.44, 434,544.14 and 178,914.42

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Solution

The fourth proportional to 314,898.44, 434,544.14 and 178,914.42 is: 246,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,898.44 : 434,544.14 = 178,914.42 : x
  2. Step 2: Convert to fraction form
    314,898.44/434,544.14 = 178,914.42/x
  3. Step 3: Cross multiply
    314,898.44x = 434,544.14 × 178,914.42
  4. Step 4: Simplify right side
    314,898.44x = 77,746,213,219.78
  5. Step 5: Solve for x
    x = 77,746,213,219.78/314,898.44
  6. Step 6: Final answer
    x = 246,892.98

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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.