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Finding the Fourth Proportional to 1,257,788.75, 1,886,978.37 and 416,340.50

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Solution

The fourth proportional to 1,257,788.75, 1,886,978.37 and 416,340.50 is: 624,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,788.75 : 1,886,978.37 = 416,340.50 : x
  2. Step 2: Convert to fraction form
    1,257,788.75/1,886,978.37 = 416,340.50/x
  3. Step 3: Cross multiply
    1,257,788.75x = 1,886,978.37 × 416,340.50
  4. Step 4: Simplify right side
    1,257,788.75x = 785,625,518,054.99
  5. Step 5: Solve for x
    x = 785,625,518,054.99/1,257,788.75
  6. Step 6: Final answer
    x = 624,608.48

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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.