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Finding the Fourth Proportional to 961,827, 1,327,382.70 and 537,891

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Solution

The fourth proportional to 961,827, 1,327,382.70 and 537,891 is: 742,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,827 : 1,327,382.70 = 537,891 : x
  2. Step 2: Convert to fraction form
    961,827/1,327,382.70 = 537,891/x
  3. Step 3: Cross multiply
    961,827x = 1,327,382.70 × 537,891
  4. Step 4: Simplify right side
    961,827x = 713,987,207,885.70
  5. Step 5: Solve for x
    x = 713,987,207,885.70/961,827
  6. Step 6: Final answer
    x = 742,323.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.