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Finding the Fourth Proportional to 3,824,075.52, 5,736,074.24 and 984,176.64

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Solution

The fourth proportional to 3,824,075.52, 5,736,074.24 and 984,176.64 is: 1,476,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,075.52 : 5,736,074.24 = 984,176.64 : x
  2. Step 2: Convert to fraction form
    3,824,075.52/5,736,074.24 = 984,176.64/x
  3. Step 3: Cross multiply
    3,824,075.52x = 5,736,074.24 × 984,176.64
  4. Step 4: Simplify right side
    3,824,075.52x = 5,645,310,272,313.75
  5. Step 5: Solve for x
    x = 5,645,310,272,313.75/3,824,075.52
  6. Step 6: Final answer
    x = 1,476,254.91

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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.