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Finding the Fourth Proportional to 270,000.40, 405,000.60 and 200,016.40

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Solution

The fourth proportional to 270,000.40, 405,000.60 and 200,016.40 is: 300,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,000.40 : 405,000.60 = 200,016.40 : x
  2. Step 2: Convert to fraction form
    270,000.40/405,000.60 = 200,016.40/x
  3. Step 3: Cross multiply
    270,000.40x = 405,000.60 × 200,016.40
  4. Step 4: Simplify right side
    270,000.40x = 81,006,762,009.84
  5. Step 5: Solve for x
    x = 81,006,762,009.84/270,000.40
  6. Step 6: Final answer
    x = 300,024.60

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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.