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Finding the Fourth Proportional to 777,884, 1,167,022.80 and 216,918.56

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Solution

The fourth proportional to 777,884, 1,167,022.80 and 216,918.56 is: 325,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,884 : 1,167,022.80 = 216,918.56 : x
  2. Step 2: Convert to fraction form
    777,884/1,167,022.80 = 216,918.56/x
  3. Step 3: Cross multiply
    777,884x = 1,167,022.80 × 216,918.56
  4. Step 4: Simplify right side
    777,884x = 253,148,905,263.17
  5. Step 5: Solve for x
    x = 253,148,905,263.17/777,884
  6. Step 6: Final answer
    x = 325,432.72

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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.