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Finding the Fourth Proportional to 358,106.80, 494,021.72 and 214,617.73

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Solution

The fourth proportional to 358,106.80, 494,021.72 and 214,617.73 is: 296,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,106.80 : 494,021.72 = 214,617.73 : x
  2. Step 2: Convert to fraction form
    358,106.80/494,021.72 = 214,617.73/x
  3. Step 3: Cross multiply
    358,106.80x = 494,021.72 × 214,617.73
  4. Step 4: Simplify right side
    358,106.80x = 106,025,820,117.10
  5. Step 5: Solve for x
    x = 106,025,820,117.10/358,106.80
  6. Step 6: Final answer
    x = 296,073.18

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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.