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Finding the Fourth Proportional to 810,514, 1,118,616.24 and 783,897.86

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Solution

The fourth proportional to 810,514, 1,118,616.24 and 783,897.86 is: 1,081,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,514 : 1,118,616.24 = 783,897.86 : x
  2. Step 2: Convert to fraction form
    810,514/1,118,616.24 = 783,897.86/x
  3. Step 3: Cross multiply
    810,514x = 1,118,616.24 × 783,897.86
  4. Step 4: Simplify right side
    810,514x = 876,880,876,697.25
  5. Step 5: Solve for x
    x = 876,880,876,697.25/810,514
  6. Step 6: Final answer
    x = 1,081,882.46

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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.