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Finding the Fourth Proportional to 522,477.36, 782,209.44 and 468,453.60

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Solution

The fourth proportional to 522,477.36, 782,209.44 and 468,453.60 is: 701,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,477.36 : 782,209.44 = 468,453.60 : x
  2. Step 2: Convert to fraction form
    522,477.36/782,209.44 = 468,453.60/x
  3. Step 3: Cross multiply
    522,477.36x = 782,209.44 × 468,453.60
  4. Step 4: Simplify right side
    522,477.36x = 366,428,828,121.98
  5. Step 5: Solve for x
    x = 366,428,828,121.98/522,477.36
  6. Step 6: Final answer
    x = 701,329.58

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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.