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Finding the Fourth Proportional to 461,698.80, 692,580.60 and 262,114.80

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Solution

The fourth proportional to 461,698.80, 692,580.60 and 262,114.80 is: 393,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,698.80 : 692,580.60 = 262,114.80 : x
  2. Step 2: Convert to fraction form
    461,698.80/692,580.60 = 262,114.80/x
  3. Step 3: Cross multiply
    461,698.80x = 692,580.60 × 262,114.80
  4. Step 4: Simplify right side
    461,698.80x = 181,535,625,452.88
  5. Step 5: Solve for x
    x = 181,535,625,452.88/461,698.80
  6. Step 6: Final answer
    x = 393,190.59

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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.