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Finding the Fourth Proportional to 357,446.05, 493,273.76 and 194,101.10

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Solution

The fourth proportional to 357,446.05, 493,273.76 and 194,101.10 is: 267,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,446.05 : 493,273.76 = 194,101.10 : x
  2. Step 2: Convert to fraction form
    357,446.05/493,273.76 = 194,101.10/x
  3. Step 3: Cross multiply
    357,446.05x = 493,273.76 × 194,101.10
  4. Step 4: Simplify right side
    357,446.05x = 95,744,979,417.14
  5. Step 5: Solve for x
    x = 95,744,979,417.14/357,446.05
  6. Step 6: Final answer
    x = 267,858.55

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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.