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Finding the Fourth Proportional to 854,886, 1,179,640.56 and 472,860.84

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Solution

The fourth proportional to 854,886, 1,179,640.56 and 472,860.84 is: 652,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,886 : 1,179,640.56 = 472,860.84 : x
  2. Step 2: Convert to fraction form
    854,886/1,179,640.56 = 472,860.84/x
  3. Step 3: Cross multiply
    854,886x = 1,179,640.56 × 472,860.84
  4. Step 4: Simplify right side
    854,886x = 557,805,826,099.67
  5. Step 5: Solve for x
    x = 557,805,826,099.67/854,886
  6. Step 6: Final answer
    x = 652,491.47

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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.