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Finding the Fourth Proportional to 358,105.36, 494,019.74 and 214,616.30

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Solution

The fourth proportional to 358,105.36, 494,019.74 and 214,616.30 is: 296,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,105.36 : 494,019.74 = 214,616.30 : x
  2. Step 2: Convert to fraction form
    358,105.36/494,019.74 = 214,616.30/x
  3. Step 3: Cross multiply
    358,105.36x = 494,019.74 × 214,616.30
  4. Step 4: Simplify right side
    358,105.36x = 106,024,688,725.76
  5. Step 5: Solve for x
    x = 106,024,688,725.76/358,105.36
  6. Step 6: Final answer
    x = 296,071.21

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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.