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Finding the Fourth Proportional to 304,492.37, 420,170.54 and 206,175.32

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Solution

The fourth proportional to 304,492.37, 420,170.54 and 206,175.32 is: 284,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,492.37 : 420,170.54 = 206,175.32 : x
  2. Step 2: Convert to fraction form
    304,492.37/420,170.54 = 206,175.32/x
  3. Step 3: Cross multiply
    304,492.37x = 420,170.54 × 206,175.32
  4. Step 4: Simplify right side
    304,492.37x = 86,628,797,506.18
  5. Step 5: Solve for x
    x = 86,628,797,506.18/304,492.37
  6. Step 6: Final answer
    x = 284,502.36

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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.