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Finding the Fourth Proportional to 461,462.40, 692,193.60 and 441,388.80

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Solution

The fourth proportional to 461,462.40, 692,193.60 and 441,388.80 is: 662,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.40 : 692,193.60 = 441,388.80 : x
  2. Step 2: Convert to fraction form
    461,462.40/692,193.60 = 441,388.80/x
  3. Step 3: Cross multiply
    461,462.40x = 692,193.60 × 441,388.80
  4. Step 4: Simplify right side
    461,462.40x = 305,526,502,471.68
  5. Step 5: Solve for x
    x = 305,526,502,471.68/461,462.40
  6. Step 6: Final answer
    x = 662,083.20

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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.