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Finding the Fourth Proportional to 589,405.24, 813,024.72 and 359,857.72

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Solution

The fourth proportional to 589,405.24, 813,024.72 and 359,857.72 is: 496,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,405.24 : 813,024.72 = 359,857.72 : x
  2. Step 2: Convert to fraction form
    589,405.24/813,024.72 = 359,857.72/x
  3. Step 3: Cross multiply
    589,405.24x = 813,024.72 × 359,857.72
  4. Step 4: Simplify right side
    589,405.24x = 292,573,222,042.84
  5. Step 5: Solve for x
    x = 292,573,222,042.84/589,405.24
  6. Step 6: Final answer
    x = 496,387.21

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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.