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Finding the Fourth Proportional to 311,130.64, 466,302.30 and 198,767.44

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Solution

The fourth proportional to 311,130.64, 466,302.30 and 198,767.44 is: 297,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,130.64 : 466,302.30 = 198,767.44 : x
  2. Step 2: Convert to fraction form
    311,130.64/466,302.30 = 198,767.44/x
  3. Step 3: Cross multiply
    311,130.64x = 466,302.30 × 198,767.44
  4. Step 4: Simplify right side
    311,130.64x = 92,685,714,437.11
  5. Step 5: Solve for x
    x = 92,685,714,437.11/311,130.64
  6. Step 6: Final answer
    x = 297,899.67

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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.