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Finding the Fourth Proportional to 358,002, 494,057.04 and 214,709.76

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Solution

The fourth proportional to 358,002, 494,057.04 and 214,709.76 is: 296,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,002 : 494,057.04 = 214,709.76 : x
  2. Step 2: Convert to fraction form
    358,002/494,057.04 = 214,709.76/x
  3. Step 3: Cross multiply
    358,002x = 494,057.04 × 214,709.76
  4. Step 4: Simplify right side
    358,002x = 106,078,868,484.71
  5. Step 5: Solve for x
    x = 106,078,868,484.71/358,002
  6. Step 6: Final answer
    x = 296,308.03

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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.