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Finding the Fourth Proportional to 414,133.60, 621,200.40 and 189,493.60

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Solution

The fourth proportional to 414,133.60, 621,200.40 and 189,493.60 is: 284,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,133.60 : 621,200.40 = 189,493.60 : x
  2. Step 2: Convert to fraction form
    414,133.60/621,200.40 = 189,493.60/x
  3. Step 3: Cross multiply
    414,133.60x = 621,200.40 × 189,493.60
  4. Step 4: Simplify right side
    414,133.60x = 117,713,500,117.44
  5. Step 5: Solve for x
    x = 117,713,500,117.44/414,133.60
  6. Step 6: Final answer
    x = 284,240.40

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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.