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Finding the Fourth Proportional to 866,889, 1,196,306.82 and 565,083

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Solution

The fourth proportional to 866,889, 1,196,306.82 and 565,083 is: 779,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,889 : 1,196,306.82 = 565,083 : x
  2. Step 2: Convert to fraction form
    866,889/1,196,306.82 = 565,083/x
  3. Step 3: Cross multiply
    866,889x = 1,196,306.82 × 565,083
  4. Step 4: Simplify right side
    866,889x = 676,012,646,766.06
  5. Step 5: Solve for x
    x = 676,012,646,766.06/866,889
  6. Step 6: Final answer
    x = 779,814.54

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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.