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Finding the Fourth Proportional to 738,680.54, 1,019,317.88 and 416,469.82

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Solution

The fourth proportional to 738,680.54, 1,019,317.88 and 416,469.82 is: 574,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,680.54 : 1,019,317.88 = 416,469.82 : x
  2. Step 2: Convert to fraction form
    738,680.54/1,019,317.88 = 416,469.82/x
  3. Step 3: Cross multiply
    738,680.54x = 1,019,317.88 × 416,469.82
  4. Step 4: Simplify right side
    738,680.54x = 424,515,134,006.38
  5. Step 5: Solve for x
    x = 424,515,134,006.38/738,680.54
  6. Step 6: Final answer
    x = 574,693.81

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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.