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Finding the Fourth Proportional to 214,709.20, 301,007.60 and 214,709.20

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Solution

The fourth proportional to 214,709.20, 301,007.60 and 214,709.20 is: 301,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.20 : 301,007.60 = 214,709.20 : x
  2. Step 2: Convert to fraction form
    214,709.20/301,007.60 = 214,709.20/x
  3. Step 3: Cross multiply
    214,709.20x = 301,007.60 × 214,709.20
  4. Step 4: Simplify right side
    214,709.20x = 64,629,100,989.92
  5. Step 5: Solve for x
    x = 64,629,100,989.92/214,709.20
  6. Step 6: Final answer
    x = 301,007.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.