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Finding the Fourth Proportional to 524,290.92, 782,880.26 and 416,464.53

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Solution

The fourth proportional to 524,290.92, 782,880.26 and 416,464.53 is: 621,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,290.92 : 782,880.26 = 416,464.53 : x
  2. Step 2: Convert to fraction form
    524,290.92/782,880.26 = 416,464.53/x
  3. Step 3: Cross multiply
    524,290.92x = 782,880.26 × 416,464.53
  4. Step 4: Simplify right side
    524,290.92x = 326,041,859,527.18
  5. Step 5: Solve for x
    x = 326,041,859,527.18/524,290.92
  6. Step 6: Final answer
    x = 621,872.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.