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Finding the Fourth Proportional to 458,772, 633,105.12 and 254,841.84

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Solution

The fourth proportional to 458,772, 633,105.12 and 254,841.84 is: 351,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,772 : 633,105.12 = 254,841.84 : x
  2. Step 2: Convert to fraction form
    458,772/633,105.12 = 254,841.84/x
  3. Step 3: Cross multiply
    458,772x = 633,105.12 × 254,841.84
  4. Step 4: Simplify right side
    458,772x = 161,341,673,694.22
  5. Step 5: Solve for x
    x = 161,341,673,694.22/458,772
  6. Step 6: Final answer
    x = 351,681.61

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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.