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Finding the Fourth Proportional to 342,396.64, 512,595.60 and 199,804.96

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Solution

The fourth proportional to 342,396.64, 512,595.60 and 199,804.96 is: 299,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,396.64 : 512,595.60 = 199,804.96 : x
  2. Step 2: Convert to fraction form
    342,396.64/512,595.60 = 199,804.96/x
  3. Step 3: Cross multiply
    342,396.64x = 512,595.60 × 199,804.96
  4. Step 4: Simplify right side
    342,396.64x = 102,419,143,354.18
  5. Step 5: Solve for x
    x = 102,419,143,354.18/342,396.64
  6. Step 6: Final answer
    x = 299,124.27

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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.