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Finding the Fourth Proportional to 746,871.84, 1,120,302 and 185,902.56

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Solution

The fourth proportional to 746,871.84, 1,120,302 and 185,902.56 is: 278,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,871.84 : 1,120,302 = 185,902.56 : x
  2. Step 2: Convert to fraction form
    746,871.84/1,120,302 = 185,902.56/x
  3. Step 3: Cross multiply
    746,871.84x = 1,120,302 × 185,902.56
  4. Step 4: Simplify right side
    746,871.84x = 208,267,009,773.12
  5. Step 5: Solve for x
    x = 208,267,009,773.12/746,871.84
  6. Step 6: Final answer
    x = 278,852.41

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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.