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Finding the Fourth Proportional to 256,511.44, 384,767.16 and 69,522.94

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Solution

The fourth proportional to 256,511.44, 384,767.16 and 69,522.94 is: 104,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,511.44 : 384,767.16 = 69,522.94 : x
  2. Step 2: Convert to fraction form
    256,511.44/384,767.16 = 69,522.94/x
  3. Step 3: Cross multiply
    256,511.44x = 384,767.16 × 69,522.94
  4. Step 4: Simplify right side
    256,511.44x = 26,750,144,178.65
  5. Step 5: Solve for x
    x = 26,750,144,178.65/256,511.44
  6. Step 6: Final answer
    x = 104,284.41

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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.