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Finding the Fourth Proportional to 563,004.72, 776,821.68 and 333,447.48

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Solution

The fourth proportional to 563,004.72, 776,821.68 and 333,447.48 is: 460,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,004.72 : 776,821.68 = 333,447.48 : x
  2. Step 2: Convert to fraction form
    563,004.72/776,821.68 = 333,447.48/x
  3. Step 3: Cross multiply
    563,004.72x = 776,821.68 × 333,447.48
  4. Step 4: Simplify right side
    563,004.72x = 259,029,231,605.37
  5. Step 5: Solve for x
    x = 259,029,231,605.37/563,004.72
  6. Step 6: Final answer
    x = 460,083.59

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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.