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Finding the Fourth Proportional to 829,814, 1,145,075.24 and 467,121.92

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Solution

The fourth proportional to 829,814, 1,145,075.24 and 467,121.92 is: 644,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,814 : 1,145,075.24 = 467,121.92 : x
  2. Step 2: Convert to fraction form
    829,814/1,145,075.24 = 467,121.92/x
  3. Step 3: Cross multiply
    829,814x = 1,145,075.24 × 467,121.92
  4. Step 4: Simplify right side
    829,814x = 534,889,744,653.26
  5. Step 5: Solve for x
    x = 534,889,744,653.26/829,814
  6. Step 6: Final answer
    x = 644,589.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.