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Finding the Fourth Proportional to 854,502, 1,179,193.32 and 472,531.92

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Solution

The fourth proportional to 854,502, 1,179,193.32 and 472,531.92 is: 652,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,502 : 1,179,193.32 = 472,531.92 : x
  2. Step 2: Convert to fraction form
    854,502/1,179,193.32 = 472,531.92/x
  3. Step 3: Cross multiply
    854,502x = 1,179,193.32 × 472,531.92
  4. Step 4: Simplify right side
    854,502x = 557,206,483,550.77
  5. Step 5: Solve for x
    x = 557,206,483,550.77/854,502
  6. Step 6: Final answer
    x = 652,083.30

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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.