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Finding the Fourth Proportional to 256,231.20, 384,404.40 and 78,746.40

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Solution

The fourth proportional to 256,231.20, 384,404.40 and 78,746.40 is: 118,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,231.20 : 384,404.40 = 78,746.40 : x
  2. Step 2: Convert to fraction form
    256,231.20/384,404.40 = 78,746.40/x
  3. Step 3: Cross multiply
    256,231.20x = 384,404.40 × 78,746.40
  4. Step 4: Simplify right side
    256,231.20x = 30,270,462,644.16
  5. Step 5: Solve for x
    x = 30,270,462,644.16/256,231.20
  6. Step 6: Final answer
    x = 118,137.30

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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.