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Finding the Fourth Proportional to 405,900.40, 609,023.40 and 256,255.60

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Solution

The fourth proportional to 405,900.40, 609,023.40 and 256,255.60 is: 384,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,900.40 : 609,023.40 = 256,255.60 : x
  2. Step 2: Convert to fraction form
    405,900.40/609,023.40 = 256,255.60/x
  3. Step 3: Cross multiply
    405,900.40x = 609,023.40 × 256,255.60
  4. Step 4: Simplify right side
    405,900.40x = 156,065,656,781.04
  5. Step 5: Solve for x
    x = 156,065,656,781.04/405,900.40
  6. Step 6: Final answer
    x = 384,492.49

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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.