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Finding the Fourth Proportional to 441,833, 662,344.54 and 172,143.10

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Solution

The fourth proportional to 441,833, 662,344.54 and 172,143.10 is: 258,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,833 : 662,344.54 = 172,143.10 : x
  2. Step 2: Convert to fraction form
    441,833/662,344.54 = 172,143.10/x
  3. Step 3: Cross multiply
    441,833x = 662,344.54 × 172,143.10
  4. Step 4: Simplify right side
    441,833x = 114,018,042,383.67
  5. Step 5: Solve for x
    x = 114,018,042,383.67/441,833
  6. Step 6: Final answer
    x = 258,056.87

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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.