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Finding the Fourth Proportional to 282,311.60, 389,564.10 and 167,570.64

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Solution

The fourth proportional to 282,311.60, 389,564.10 and 167,570.64 is: 231,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,311.60 : 389,564.10 = 167,570.64 : x
  2. Step 2: Convert to fraction form
    282,311.60/389,564.10 = 167,570.64/x
  3. Step 3: Cross multiply
    282,311.60x = 389,564.10 × 167,570.64
  4. Step 4: Simplify right side
    282,311.60x = 65,279,505,558.02
  5. Step 5: Solve for x
    x = 65,279,505,558.02/282,311.60
  6. Step 6: Final answer
    x = 231,232.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.