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Finding the Fourth Proportional to 461,936.40, 692,386.20 and 262,352.40

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Solution

The fourth proportional to 461,936.40, 692,386.20 and 262,352.40 is: 393,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,936.40 : 692,386.20 = 262,352.40 : x
  2. Step 2: Convert to fraction form
    461,936.40/692,386.20 = 262,352.40/x
  3. Step 3: Cross multiply
    461,936.40x = 692,386.20 × 262,352.40
  4. Step 4: Simplify right side
    461,936.40x = 181,649,181,296.88
  5. Step 5: Solve for x
    x = 181,649,181,296.88/461,936.40
  6. Step 6: Final answer
    x = 393,234.18

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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.