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Finding the Fourth Proportional to 358,107.55, 494,022.75 and 214,618.48

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Solution

The fourth proportional to 358,107.55, 494,022.75 and 214,618.48 is: 296,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,107.55 : 494,022.75 = 214,618.48 : x
  2. Step 2: Convert to fraction form
    358,107.55/494,022.75 = 214,618.48/x
  3. Step 3: Cross multiply
    358,107.55x = 494,022.75 × 214,618.48
  4. Step 4: Simplify right side
    358,107.55x = 106,026,411,690.42
  5. Step 5: Solve for x
    x = 106,026,411,690.42/358,107.55
  6. Step 6: Final answer
    x = 296,074.21

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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.