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Finding the Fourth Proportional to 357,427.78, 493,235.55 and 194,077.89

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Solution

The fourth proportional to 357,427.78, 493,235.55 and 194,077.89 is: 267,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,427.78 : 493,235.55 = 194,077.89 : x
  2. Step 2: Convert to fraction form
    357,427.78/493,235.55 = 194,077.89/x
  3. Step 3: Cross multiply
    357,427.78x = 493,235.55 × 194,077.89
  4. Step 4: Simplify right side
    357,427.78x = 95,726,114,816.99
  5. Step 5: Solve for x
    x = 95,726,114,816.99/357,427.78
  6. Step 6: Final answer
    x = 267,819.46

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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.