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Finding the Fourth Proportional to 462,205.40, 693,308.10 and 262,448.60

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Solution

The fourth proportional to 462,205.40, 693,308.10 and 262,448.60 is: 393,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,205.40 : 693,308.10 = 262,448.60 : x
  2. Step 2: Convert to fraction form
    462,205.40/693,308.10 = 262,448.60/x
  3. Step 3: Cross multiply
    462,205.40x = 693,308.10 × 262,448.60
  4. Step 4: Simplify right side
    462,205.40x = 181,957,740,213.66
  5. Step 5: Solve for x
    x = 181,957,740,213.66/462,205.40
  6. Step 6: Final answer
    x = 393,672.90

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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.