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Finding the Fourth Proportional to 273,232.60, 409,848.90 and 193,516.45

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Solution

The fourth proportional to 273,232.60, 409,848.90 and 193,516.45 is: 290,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,232.60 : 409,848.90 = 193,516.45 : x
  2. Step 2: Convert to fraction form
    273,232.60/409,848.90 = 193,516.45/x
  3. Step 3: Cross multiply
    273,232.60x = 409,848.90 × 193,516.45
  4. Step 4: Simplify right side
    273,232.60x = 79,312,504,164.41
  5. Step 5: Solve for x
    x = 79,312,504,164.41/273,232.60
  6. Step 6: Final answer
    x = 290,274.68

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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.