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Finding the Fourth Proportional to 512,892.55, 769,330.30 and 197,417.80

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Solution

The fourth proportional to 512,892.55, 769,330.30 and 197,417.80 is: 296,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,892.55 : 769,330.30 = 197,417.80 : x
  2. Step 2: Convert to fraction form
    512,892.55/769,330.30 = 197,417.80/x
  3. Step 3: Cross multiply
    512,892.55x = 769,330.30 × 197,417.80
  4. Step 4: Simplify right side
    512,892.55x = 151,879,495,299.34
  5. Step 5: Solve for x
    x = 151,879,495,299.34/512,892.55
  6. Step 6: Final answer
    x = 296,123.42

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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.