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Finding the Fourth Proportional to 333,074.10, 499,611.15 and 298,082.10

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Solution

The fourth proportional to 333,074.10, 499,611.15 and 298,082.10 is: 447,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,074.10 : 499,611.15 = 298,082.10 : x
  2. Step 2: Convert to fraction form
    333,074.10/499,611.15 = 298,082.10/x
  3. Step 3: Cross multiply
    333,074.10x = 499,611.15 × 298,082.10
  4. Step 4: Simplify right side
    333,074.10x = 148,925,140,775.42
  5. Step 5: Solve for x
    x = 148,925,140,775.42/333,074.10
  6. Step 6: Final answer
    x = 447,123.15

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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.