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Finding the Fourth Proportional to 285,097.54, 427,977.60 and 166,853.74

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Solution

The fourth proportional to 285,097.54, 427,977.60 and 166,853.74 is: 250,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,097.54 : 427,977.60 = 166,853.74 : x
  2. Step 2: Convert to fraction form
    285,097.54/427,977.60 = 166,853.74/x
  3. Step 3: Cross multiply
    285,097.54x = 427,977.60 × 166,853.74
  4. Step 4: Simplify right side
    285,097.54x = 71,409,663,196.22
  5. Step 5: Solve for x
    x = 71,409,663,196.22/285,097.54
  6. Step 6: Final answer
    x = 250,474.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.