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Finding the Fourth Proportional to 424,910.82, 586,189.53 and 263,442.18

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Solution

The fourth proportional to 424,910.82, 586,189.53 and 263,442.18 is: 363,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,910.82 : 586,189.53 = 263,442.18 : x
  2. Step 2: Convert to fraction form
    424,910.82/586,189.53 = 263,442.18/x
  3. Step 3: Cross multiply
    424,910.82x = 586,189.53 × 263,442.18
  4. Step 4: Simplify right side
    424,910.82x = 154,427,047,676.38
  5. Step 5: Solve for x
    x = 154,427,047,676.38/424,910.82
  6. Step 6: Final answer
    x = 363,434.02

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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.