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Finding the Fourth Proportional to 307,798.76, 424,769.48 and 193,082.25

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Solution

The fourth proportional to 307,798.76, 424,769.48 and 193,082.25 is: 266,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,798.76 : 424,769.48 = 193,082.25 : x
  2. Step 2: Convert to fraction form
    307,798.76/424,769.48 = 193,082.25/x
  3. Step 3: Cross multiply
    307,798.76x = 424,769.48 × 193,082.25
  4. Step 4: Simplify right side
    307,798.76x = 82,015,445,964.32
  5. Step 5: Solve for x
    x = 82,015,445,964.32/307,798.76
  6. Step 6: Final answer
    x = 266,458.02

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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.