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Finding the Fourth Proportional to 538,382.07, 743,000.36 and 296,664.57

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Solution

The fourth proportional to 538,382.07, 743,000.36 and 296,664.57 is: 409,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,382.07 : 743,000.36 = 296,664.57 : x
  2. Step 2: Convert to fraction form
    538,382.07/743,000.36 = 296,664.57/x
  3. Step 3: Cross multiply
    538,382.07x = 743,000.36 × 296,664.57
  4. Step 4: Simplify right side
    538,382.07x = 220,421,880,825.92
  5. Step 5: Solve for x
    x = 220,421,880,825.92/538,382.07
  6. Step 6: Final answer
    x = 409,415.34

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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.