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Finding the Fourth Proportional to 557,690.64, 836,166.12 and 202,662.48

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Solution

The fourth proportional to 557,690.64, 836,166.12 and 202,662.48 is: 303,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,690.64 : 836,166.12 = 202,662.48 : x
  2. Step 2: Convert to fraction form
    557,690.64/836,166.12 = 202,662.48/x
  3. Step 3: Cross multiply
    557,690.64x = 836,166.12 × 202,662.48
  4. Step 4: Simplify right side
    557,690.64x = 169,459,499,571.18
  5. Step 5: Solve for x
    x = 169,459,499,571.18/557,690.64
  6. Step 6: Final answer
    x = 303,859.32

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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.