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Finding the Fourth Proportional to 356,956.42, 492,568.59 and 203,964.16

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Solution

The fourth proportional to 356,956.42, 492,568.59 and 203,964.16 is: 281,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,956.42 : 492,568.59 = 203,964.16 : x
  2. Step 2: Convert to fraction form
    356,956.42/492,568.59 = 203,964.16/x
  3. Step 3: Cross multiply
    356,956.42x = 492,568.59 × 203,964.16
  4. Step 4: Simplify right side
    356,956.42x = 100,466,338,701.73
  5. Step 5: Solve for x
    x = 100,466,338,701.73/356,956.42
  6. Step 6: Final answer
    x = 281,452.67

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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.