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Finding the Fourth Proportional to 469,955.69, 704,960.94 and 132,968.15

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Solution

The fourth proportional to 469,955.69, 704,960.94 and 132,968.15 is: 199,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,955.69 : 704,960.94 = 132,968.15 : x
  2. Step 2: Convert to fraction form
    469,955.69/704,960.94 = 132,968.15/x
  3. Step 3: Cross multiply
    469,955.69x = 704,960.94 × 132,968.15
  4. Step 4: Simplify right side
    469,955.69x = 93,737,348,489.26
  5. Step 5: Solve for x
    x = 93,737,348,489.26/469,955.69
  6. Step 6: Final answer
    x = 199,459.97

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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.