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Finding the Fourth Proportional to 405,712.40, 608,741.40 and 256,067.60

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Solution

The fourth proportional to 405,712.40, 608,741.40 and 256,067.60 is: 384,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,712.40 : 608,741.40 = 256,067.60 : x
  2. Step 2: Convert to fraction form
    405,712.40/608,741.40 = 256,067.60/x
  3. Step 3: Cross multiply
    405,712.40x = 608,741.40 × 256,067.60
  4. Step 4: Simplify right side
    405,712.40x = 155,878,949,318.64
  5. Step 5: Solve for x
    x = 155,878,949,318.64/405,712.40
  6. Step 6: Final answer
    x = 384,210.46

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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.