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Finding the Fourth Proportional to 298,123.78, 411,373.45 and 201,537.76

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Solution

The fourth proportional to 298,123.78, 411,373.45 and 201,537.76 is: 278,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,123.78 : 411,373.45 = 201,537.76 : x
  2. Step 2: Convert to fraction form
    298,123.78/411,373.45 = 201,537.76/x
  3. Step 3: Cross multiply
    298,123.78x = 411,373.45 × 201,537.76
  4. Step 4: Simplify right side
    298,123.78x = 82,907,283,636.47
  5. Step 5: Solve for x
    x = 82,907,283,636.47/298,123.78
  6. Step 6: Final answer
    x = 278,096.85

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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.