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Finding the Fourth Proportional to 286,206.40, 429,313.44 and 86,528.32

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Solution

The fourth proportional to 286,206.40, 429,313.44 and 86,528.32 is: 129,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,206.40 : 429,313.44 = 86,528.32 : x
  2. Step 2: Convert to fraction form
    286,206.40/429,313.44 = 86,528.32/x
  3. Step 3: Cross multiply
    286,206.40x = 429,313.44 × 86,528.32
  4. Step 4: Simplify right side
    286,206.40x = 37,147,770,716.62
  5. Step 5: Solve for x
    x = 37,147,770,716.62/286,206.40
  6. Step 6: Final answer
    x = 129,793.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.