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Finding the Fourth Proportional to 461,686.80, 692,562.60 and 262,102.80

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Solution

The fourth proportional to 461,686.80, 692,562.60 and 262,102.80 is: 393,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,686.80 : 692,562.60 = 262,102.80 : x
  2. Step 2: Convert to fraction form
    461,686.80/692,562.60 = 262,102.80/x
  3. Step 3: Cross multiply
    461,686.80x = 692,562.60 × 262,102.80
  4. Step 4: Simplify right side
    461,686.80x = 181,522,596,635.28
  5. Step 5: Solve for x
    x = 181,522,596,635.28/461,686.80
  6. Step 6: Final answer
    x = 393,172.59

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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.