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Finding the Fourth Proportional to 483,002.69, 727,975.78 and 416,339.31

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Solution

The fourth proportional to 483,002.69, 727,975.78 and 416,339.31 is: 627,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,002.69 : 727,975.78 = 416,339.31 : x
  2. Step 2: Convert to fraction form
    483,002.69/727,975.78 = 416,339.31/x
  3. Step 3: Cross multiply
    483,002.69x = 727,975.78 × 416,339.31
  4. Step 4: Simplify right side
    483,002.69x = 303,084,937,192.25
  5. Step 5: Solve for x
    x = 303,084,937,192.25/483,002.69
  6. Step 6: Final answer
    x = 627,501.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.