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Finding the Fourth Proportional to 424,609.11, 586,222.38 and 292,230

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Solution

The fourth proportional to 424,609.11, 586,222.38 and 292,230 is: 403,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,609.11 : 586,222.38 = 292,230 : x
  2. Step 2: Convert to fraction form
    424,609.11/586,222.38 = 292,230/x
  3. Step 3: Cross multiply
    424,609.11x = 586,222.38 × 292,230
  4. Step 4: Simplify right side
    424,609.11x = 171,311,766,107.40
  5. Step 5: Solve for x
    x = 171,311,766,107.40/424,609.11
  6. Step 6: Final answer
    x = 403,457.59

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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.