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Finding the Fourth Proportional to 445,568.40, 668,352.60 and 414,075.60

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Solution

The fourth proportional to 445,568.40, 668,352.60 and 414,075.60 is: 621,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,568.40 : 668,352.60 = 414,075.60 : x
  2. Step 2: Convert to fraction form
    445,568.40/668,352.60 = 414,075.60/x
  3. Step 3: Cross multiply
    445,568.40x = 668,352.60 × 414,075.60
  4. Step 4: Simplify right side
    445,568.40x = 276,748,503,856.56
  5. Step 5: Solve for x
    x = 276,748,503,856.56/445,568.40
  6. Step 6: Final answer
    x = 621,113.40

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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.