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Finding the Fourth Proportional to 433,533.60, 650,203.20 and 284,817.60

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Solution

The fourth proportional to 433,533.60, 650,203.20 and 284,817.60 is: 427,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,533.60 : 650,203.20 = 284,817.60 : x
  2. Step 2: Convert to fraction form
    433,533.60/650,203.20 = 284,817.60/x
  3. Step 3: Cross multiply
    433,533.60x = 650,203.20 × 284,817.60
  4. Step 4: Simplify right side
    433,533.60x = 185,189,314,936.32
  5. Step 5: Solve for x
    x = 185,189,314,936.32/433,533.60
  6. Step 6: Final answer
    x = 427,162.54

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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.