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Finding the Fourth Proportional to 396,295.38, 546,875.28 and 224,200.35

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Solution

The fourth proportional to 396,295.38, 546,875.28 and 224,200.35 is: 309,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,295.38 : 546,875.28 = 224,200.35 : x
  2. Step 2: Convert to fraction form
    396,295.38/546,875.28 = 224,200.35/x
  3. Step 3: Cross multiply
    396,295.38x = 546,875.28 × 224,200.35
  4. Step 4: Simplify right side
    396,295.38x = 122,609,629,182.35
  5. Step 5: Solve for x
    x = 122,609,629,182.35/396,295.38
  6. Step 6: Final answer
    x = 309,389.50

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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.