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Finding the Fourth Proportional to 540,096.41, 809,643.83 and 185,026.02

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Solution

The fourth proportional to 540,096.41, 809,643.83 and 185,026.02 is: 277,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,096.41 : 809,643.83 = 185,026.02 : x
  2. Step 2: Convert to fraction form
    540,096.41/809,643.83 = 185,026.02/x
  3. Step 3: Cross multiply
    540,096.41x = 809,643.83 × 185,026.02
  4. Step 4: Simplify right side
    540,096.41x = 149,805,174,557.33
  5. Step 5: Solve for x
    x = 149,805,174,557.33/540,096.41
  6. Step 6: Final answer
    x = 277,367.47

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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.