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Finding the Fourth Proportional to 1,232,734.63, 1,849,517.22 and 776,796.46

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Solution

The fourth proportional to 1,232,734.63, 1,849,517.22 and 776,796.46 is: 1,165,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,734.63 : 1,849,517.22 = 776,796.46 : x
  2. Step 2: Convert to fraction form
    1,232,734.63/1,849,517.22 = 776,796.46/x
  3. Step 3: Cross multiply
    1,232,734.63x = 1,849,517.22 × 776,796.46
  4. Step 4: Simplify right side
    1,232,734.63x = 1,436,698,416,073.47
  5. Step 5: Solve for x
    x = 1,436,698,416,073.47/1,232,734.63
  6. Step 6: Final answer
    x = 1,165,456.37

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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.