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Finding the Fourth Proportional to 541,810.25, 748,200.76 and 405,607.74

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Solution

The fourth proportional to 541,810.25, 748,200.76 and 405,607.74 is: 560,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,810.25 : 748,200.76 = 405,607.74 : x
  2. Step 2: Convert to fraction form
    541,810.25/748,200.76 = 405,607.74/x
  3. Step 3: Cross multiply
    541,810.25x = 748,200.76 × 405,607.74
  4. Step 4: Simplify right side
    541,810.25x = 303,476,019,329.88
  5. Step 5: Solve for x
    x = 303,476,019,329.88/541,810.25
  6. Step 6: Final answer
    x = 560,114.95

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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.