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Finding the Fourth Proportional to 461,968.48, 692,998 and 192,040.80

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Solution

The fourth proportional to 461,968.48, 692,998 and 192,040.80 is: 288,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,968.48 : 692,998 = 192,040.80 : x
  2. Step 2: Convert to fraction form
    461,968.48/692,998 = 192,040.80/x
  3. Step 3: Cross multiply
    461,968.48x = 692,998 × 192,040.80
  4. Step 4: Simplify right side
    461,968.48x = 133,083,890,318.40
  5. Step 5: Solve for x
    x = 133,083,890,318.40/461,968.48
  6. Step 6: Final answer
    x = 288,080.02

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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.