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Finding the Fourth Proportional to 524,704.98, 724,089.49 and 298,350.46

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Solution

The fourth proportional to 524,704.98, 724,089.49 and 298,350.46 is: 411,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,704.98 : 724,089.49 = 298,350.46 : x
  2. Step 2: Convert to fraction form
    524,704.98/724,089.49 = 298,350.46/x
  3. Step 3: Cross multiply
    524,704.98x = 724,089.49 × 298,350.46
  4. Step 4: Simplify right side
    524,704.98x = 216,032,432,422.67
  5. Step 5: Solve for x
    x = 216,032,432,422.67/524,704.98
  6. Step 6: Final answer
    x = 411,721.71

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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.