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Finding the Fourth Proportional to 567,277.30, 782,879.67 and 325,638.10

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Solution

The fourth proportional to 567,277.30, 782,879.67 and 325,638.10 is: 449,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,277.30 : 782,879.67 = 325,638.10 : x
  2. Step 2: Convert to fraction form
    567,277.30/782,879.67 = 325,638.10/x
  3. Step 3: Cross multiply
    567,277.30x = 782,879.67 × 325,638.10
  4. Step 4: Simplify right side
    567,277.30x = 254,935,448,267.43
  5. Step 5: Solve for x
    x = 254,935,448,267.43/567,277.30
  6. Step 6: Final answer
    x = 449,401.82

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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.