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Finding the Fourth Proportional to 563,821.08, 778,481.42 and 362,967

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Solution

The fourth proportional to 563,821.08, 778,481.42 and 362,967 is: 501,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,821.08 : 778,481.42 = 362,967 : x
  2. Step 2: Convert to fraction form
    563,821.08/778,481.42 = 362,967/x
  3. Step 3: Cross multiply
    563,821.08x = 778,481.42 × 362,967
  4. Step 4: Simplify right side
    563,821.08x = 282,563,065,573.14
  5. Step 5: Solve for x
    x = 282,563,065,573.14/563,821.08
  6. Step 6: Final answer
    x = 501,157.33

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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.