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Finding the Fourth Proportional to 416,727.20, 624,849.36 and 366,907.40

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Solution

The fourth proportional to 416,727.20, 624,849.36 and 366,907.40 is: 550,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,727.20 : 624,849.36 = 366,907.40 : x
  2. Step 2: Convert to fraction form
    416,727.20/624,849.36 = 366,907.40/x
  3. Step 3: Cross multiply
    416,727.20x = 624,849.36 × 366,907.40
  4. Step 4: Simplify right side
    416,727.20x = 229,261,854,069.26
  5. Step 5: Solve for x
    x = 229,261,854,069.26/416,727.20
  6. Step 6: Final answer
    x = 550,148.52

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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.