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Finding the Fourth Proportional to 442,821.09, 611,075.50 and 261,591.22

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Solution

The fourth proportional to 442,821.09, 611,075.50 and 261,591.22 is: 360,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,821.09 : 611,075.50 = 261,591.22 : x
  2. Step 2: Convert to fraction form
    442,821.09/611,075.50 = 261,591.22/x
  3. Step 3: Cross multiply
    442,821.09x = 611,075.50 × 261,591.22
  4. Step 4: Simplify right side
    442,821.09x = 159,851,985,557.11
  5. Step 5: Solve for x
    x = 159,851,985,557.11/442,821.09
  6. Step 6: Final answer
    x = 360,985.48

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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.