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Finding the Fourth Proportional to 255,728.62, 383,608.28 and 78,237.16

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Solution

The fourth proportional to 255,728.62, 383,608.28 and 78,237.16 is: 117,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,728.62 : 383,608.28 = 78,237.16 : x
  2. Step 2: Convert to fraction form
    255,728.62/383,608.28 = 78,237.16/x
  3. Step 3: Cross multiply
    255,728.62x = 383,608.28 × 78,237.16
  4. Step 4: Simplify right side
    255,728.62x = 30,012,422,379.68
  5. Step 5: Solve for x
    x = 30,012,422,379.68/255,728.62
  6. Step 6: Final answer
    x = 117,360.44

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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.