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Finding the Fourth Proportional to 512,022.32, 768,038.04 and 157,038

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Solution

The fourth proportional to 512,022.32, 768,038.04 and 157,038 is: 235,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,022.32 : 768,038.04 = 157,038 : x
  2. Step 2: Convert to fraction form
    512,022.32/768,038.04 = 157,038/x
  3. Step 3: Cross multiply
    512,022.32x = 768,038.04 × 157,038
  4. Step 4: Simplify right side
    512,022.32x = 120,611,157,725.52
  5. Step 5: Solve for x
    x = 120,611,157,725.52/512,022.32
  6. Step 6: Final answer
    x = 235,558.40

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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.