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Finding the Fourth Proportional to 647,969.34, 893,892.87 and 421,532.22

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Solution

The fourth proportional to 647,969.34, 893,892.87 and 421,532.22 is: 581,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,969.34 : 893,892.87 = 421,532.22 : x
  2. Step 2: Convert to fraction form
    647,969.34/893,892.87 = 421,532.22/x
  3. Step 3: Cross multiply
    647,969.34x = 893,892.87 × 421,532.22
  4. Step 4: Simplify right side
    647,969.34x = 376,804,645,933.27
  5. Step 5: Solve for x
    x = 376,804,645,933.27/647,969.34
  6. Step 6: Final answer
    x = 581,516.17

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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.