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Finding the Fourth Proportional to 357,096.60, 492,764.40 and 204,126.84

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Solution

The fourth proportional to 357,096.60, 492,764.40 and 204,126.84 is: 281,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,096.60 : 492,764.40 = 204,126.84 : x
  2. Step 2: Convert to fraction form
    357,096.60/492,764.40 = 204,126.84/x
  3. Step 3: Cross multiply
    357,096.60x = 492,764.40 × 204,126.84
  4. Step 4: Simplify right side
    357,096.60x = 100,586,439,836.50
  5. Step 5: Solve for x
    x = 100,586,439,836.50/357,096.60
  6. Step 6: Final answer
    x = 281,678.51

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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.