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Finding the Fourth Proportional to 384,516.40, 576,774.60 and 226,922.80

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Solution

The fourth proportional to 384,516.40, 576,774.60 and 226,922.80 is: 340,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,516.40 : 576,774.60 = 226,922.80 : x
  2. Step 2: Convert to fraction form
    384,516.40/576,774.60 = 226,922.80/x
  3. Step 3: Cross multiply
    384,516.40x = 576,774.60 × 226,922.80
  4. Step 4: Simplify right side
    384,516.40x = 130,883,307,200.88
  5. Step 5: Solve for x
    x = 130,883,307,200.88/384,516.40
  6. Step 6: Final answer
    x = 340,384.20

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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.