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Finding the Fourth Proportional to 582,638.64, 804,117.96 and 328,039.44

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Solution

The fourth proportional to 582,638.64, 804,117.96 and 328,039.44 is: 452,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,638.64 : 804,117.96 = 328,039.44 : x
  2. Step 2: Convert to fraction form
    582,638.64/804,117.96 = 328,039.44/x
  3. Step 3: Cross multiply
    582,638.64x = 804,117.96 × 328,039.44
  4. Step 4: Simplify right side
    582,638.64x = 263,782,405,292.34
  5. Step 5: Solve for x
    x = 263,782,405,292.34/582,638.64
  6. Step 6: Final answer
    x = 452,737.58

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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.