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Finding the Fourth Proportional to 589,573.44, 813,380.40 and 362,825.28

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Solution

The fourth proportional to 589,573.44, 813,380.40 and 362,825.28 is: 500,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,573.44 : 813,380.40 = 362,825.28 : x
  2. Step 2: Convert to fraction form
    589,573.44/813,380.40 = 362,825.28/x
  3. Step 3: Cross multiply
    589,573.44x = 813,380.40 × 362,825.28
  4. Step 4: Simplify right side
    589,573.44x = 295,114,971,376.51
  5. Step 5: Solve for x
    x = 295,114,971,376.51/589,573.44
  6. Step 6: Final answer
    x = 500,556.76

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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.