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Finding the Fourth Proportional to 643,623.14, 965,745.76 and 264,823.40

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Solution

The fourth proportional to 643,623.14, 965,745.76 and 264,823.40 is: 397,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,623.14 : 965,745.76 = 264,823.40 : x
  2. Step 2: Convert to fraction form
    643,623.14/965,745.76 = 264,823.40/x
  3. Step 3: Cross multiply
    643,623.14x = 965,745.76 × 264,823.40
  4. Step 4: Simplify right side
    643,623.14x = 255,752,075,698.78
  5. Step 5: Solve for x
    x = 255,752,075,698.78/643,623.14
  6. Step 6: Final answer
    x = 397,363.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.