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Finding the Fourth Proportional to 405,906.40, 609,032.40 and 256,261.60

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Solution

The fourth proportional to 405,906.40, 609,032.40 and 256,261.60 is: 384,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,906.40 : 609,032.40 = 256,261.60 : x
  2. Step 2: Convert to fraction form
    405,906.40/609,032.40 = 256,261.60/x
  3. Step 3: Cross multiply
    405,906.40x = 609,032.40 × 256,261.60
  4. Step 4: Simplify right side
    405,906.40x = 156,071,617,275.84
  5. Step 5: Solve for x
    x = 156,071,617,275.84/405,906.40
  6. Step 6: Final answer
    x = 384,501.49

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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.