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Finding the Fourth Proportional to 756,522, 1,044,000.36 and 416,997.54

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Solution

The fourth proportional to 756,522, 1,044,000.36 and 416,997.54 is: 575,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,522 : 1,044,000.36 = 416,997.54 : x
  2. Step 2: Convert to fraction form
    756,522/1,044,000.36 = 416,997.54/x
  3. Step 3: Cross multiply
    756,522x = 1,044,000.36 × 416,997.54
  4. Step 4: Simplify right side
    756,522x = 435,345,581,879.11
  5. Step 5: Solve for x
    x = 435,345,581,879.11/756,522
  6. Step 6: Final answer
    x = 575,456.61

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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.