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Finding the Fourth Proportional to 405,891.40, 609,009.90 and 256,246.60

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Solution

The fourth proportional to 405,891.40, 609,009.90 and 256,246.60 is: 384,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,891.40 : 609,009.90 = 256,246.60 : x
  2. Step 2: Convert to fraction form
    405,891.40/609,009.90 = 256,246.60/x
  3. Step 3: Cross multiply
    405,891.40x = 609,009.90 × 256,246.60
  4. Step 4: Simplify right side
    405,891.40x = 156,056,716,241.34
  5. Step 5: Solve for x
    x = 156,056,716,241.34/405,891.40
  6. Step 6: Final answer
    x = 384,478.99

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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.