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Finding the Fourth Proportional to 280,434.64, 386,984.44 and 153,107.32

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Solution

The fourth proportional to 280,434.64, 386,984.44 and 153,107.32 is: 211,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434.64 : 386,984.44 = 153,107.32 : x
  2. Step 2: Convert to fraction form
    280,434.64/386,984.44 = 153,107.32/x
  3. Step 3: Cross multiply
    280,434.64x = 386,984.44 × 153,107.32
  4. Step 4: Simplify right side
    280,434.64x = 59,250,150,490.10
  5. Step 5: Solve for x
    x = 59,250,150,490.10/280,434.64
  6. Step 6: Final answer
    x = 211,279.71

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