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Finding the Fourth Proportional to 482,097.75, 723,153.92 and 182,497.89

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Solution

The fourth proportional to 482,097.75, 723,153.92 and 182,497.89 is: 273,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,097.75 : 723,153.92 = 182,497.89 : x
  2. Step 2: Convert to fraction form
    482,097.75/723,153.92 = 182,497.89/x
  3. Step 3: Cross multiply
    482,097.75x = 723,153.92 × 182,497.89
  4. Step 4: Simplify right side
    482,097.75x = 131,974,064,545.23
  5. Step 5: Solve for x
    x = 131,974,064,545.23/482,097.75
  6. Step 6: Final answer
    x = 273,749.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.