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Finding the Fourth Proportional to 738,682.54, 1,019,320.64 and 416,471.82

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Solution

The fourth proportional to 738,682.54, 1,019,320.64 and 416,471.82 is: 574,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,682.54 : 1,019,320.64 = 416,471.82 : x
  2. Step 2: Convert to fraction form
    738,682.54/1,019,320.64 = 416,471.82/x
  3. Step 3: Cross multiply
    738,682.54x = 1,019,320.64 × 416,471.82
  4. Step 4: Simplify right side
    738,682.54x = 424,518,322,104.37
  5. Step 5: Solve for x
    x = 424,518,322,104.37/738,682.54
  6. Step 6: Final answer
    x = 574,696.57

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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.