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Finding the Fourth Proportional to 337,980.30, 466,435.14 and 194,749.38

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Solution

The fourth proportional to 337,980.30, 466,435.14 and 194,749.38 is: 268,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,980.30 : 466,435.14 = 194,749.38 : x
  2. Step 2: Convert to fraction form
    337,980.30/466,435.14 = 194,749.38/x
  3. Step 3: Cross multiply
    337,980.30x = 466,435.14 × 194,749.38
  4. Step 4: Simplify right side
    337,980.30x = 90,837,954,325.21
  5. Step 5: Solve for x
    x = 90,837,954,325.21/337,980.30
  6. Step 6: Final answer
    x = 268,767.01

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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.