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Finding the Fourth Proportional to 494,818.04, 682,398.04 and 418,497.16

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Solution

The fourth proportional to 494,818.04, 682,398.04 and 418,497.16 is: 577,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,818.04 : 682,398.04 = 418,497.16 : x
  2. Step 2: Convert to fraction form
    494,818.04/682,398.04 = 418,497.16/x
  3. Step 3: Cross multiply
    494,818.04x = 682,398.04 × 418,497.16
  4. Step 4: Simplify right side
    494,818.04x = 285,581,641,729.57
  5. Step 5: Solve for x
    x = 285,581,641,729.57/494,818.04
  6. Step 6: Final answer
    x = 577,144.77

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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.