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Finding the Fourth Proportional to 697,782.24, 963,089.46 and 425,791.80

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Solution

The fourth proportional to 697,782.24, 963,089.46 and 425,791.80 is: 587,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,782.24 : 963,089.46 = 425,791.80 : x
  2. Step 2: Convert to fraction form
    697,782.24/963,089.46 = 425,791.80/x
  3. Step 3: Cross multiply
    697,782.24x = 963,089.46 × 425,791.80
  4. Step 4: Simplify right side
    697,782.24x = 410,075,594,734.43
  5. Step 5: Solve for x
    x = 410,075,594,734.43/697,782.24
  6. Step 6: Final answer
    x = 587,684.20

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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.