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Finding the Fourth Proportional to 338,098.86, 466,576.61 and 210,774.96

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Solution

The fourth proportional to 338,098.86, 466,576.61 and 210,774.96 is: 290,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,098.86 : 466,576.61 = 210,774.96 : x
  2. Step 2: Convert to fraction form
    338,098.86/466,576.61 = 210,774.96/x
  3. Step 3: Cross multiply
    338,098.86x = 466,576.61 × 210,774.96
  4. Step 4: Simplify right side
    338,098.86x = 98,342,665,255.81
  5. Step 5: Solve for x
    x = 98,342,665,255.81/338,098.86
  6. Step 6: Final answer
    x = 290,869.56

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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.