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Finding the Fourth Proportional to 532,907.80, 798,195.30 and 462,923.80

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Solution

The fourth proportional to 532,907.80, 798,195.30 and 462,923.80 is: 693,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,907.80 : 798,195.30 = 462,923.80 : x
  2. Step 2: Convert to fraction form
    532,907.80/798,195.30 = 462,923.80/x
  3. Step 3: Cross multiply
    532,907.80x = 798,195.30 × 462,923.80
  4. Step 4: Simplify right side
    532,907.80x = 369,503,601,418.14
  5. Step 5: Solve for x
    x = 369,503,601,418.14/532,907.80
  6. Step 6: Final answer
    x = 693,372.48

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Why These Related Problems?

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