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Finding the Fourth Proportional to 509,728.58, 764,552.86 and 296,360.51

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Solution

The fourth proportional to 509,728.58, 764,552.86 and 296,360.51 is: 444,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,728.58 : 764,552.86 = 296,360.51 : x
  2. Step 2: Convert to fraction form
    509,728.58/764,552.86 = 296,360.51/x
  3. Step 3: Cross multiply
    509,728.58x = 764,552.86 × 296,360.51
  4. Step 4: Simplify right side
    509,728.58x = 226,583,270,947.89
  5. Step 5: Solve for x
    x = 226,583,270,947.89/509,728.58
  6. Step 6: Final answer
    x = 444,517.49

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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.