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Finding the Fourth Proportional to 286,022.40, 429,033.60 and 181,305.60

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Solution

The fourth proportional to 286,022.40, 429,033.60 and 181,305.60 is: 271,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,022.40 : 429,033.60 = 181,305.60 : x
  2. Step 2: Convert to fraction form
    286,022.40/429,033.60 = 181,305.60/x
  3. Step 3: Cross multiply
    286,022.40x = 429,033.60 × 181,305.60
  4. Step 4: Simplify right side
    286,022.40x = 77,786,194,268.16
  5. Step 5: Solve for x
    x = 77,786,194,268.16/286,022.40
  6. Step 6: Final answer
    x = 271,958.40

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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.