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Finding the Fourth Proportional to 461,932.80, 693,129.60 and 262,406.40

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Solution

The fourth proportional to 461,932.80, 693,129.60 and 262,406.40 is: 393,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,932.80 : 693,129.60 = 262,406.40 : x
  2. Step 2: Convert to fraction form
    461,932.80/693,129.60 = 262,406.40/x
  3. Step 3: Cross multiply
    461,932.80x = 693,129.60 × 262,406.40
  4. Step 4: Simplify right side
    461,932.80x = 181,881,643,069.44
  5. Step 5: Solve for x
    x = 181,881,643,069.44/461,932.80
  6. Step 6: Final answer
    x = 393,740.48

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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.