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Finding the Fourth Proportional to 397,084.88, 595,292.36 and 172,276.22

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Solution

The fourth proportional to 397,084.88, 595,292.36 and 172,276.22 is: 258,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,084.88 : 595,292.36 = 172,276.22 : x
  2. Step 2: Convert to fraction form
    397,084.88/595,292.36 = 172,276.22/x
  3. Step 3: Cross multiply
    397,084.88x = 595,292.36 × 172,276.22
  4. Step 4: Simplify right side
    397,084.88x = 102,554,713,737.84
  5. Step 5: Solve for x
    x = 102,554,713,737.84/397,084.88
  6. Step 6: Final answer
    x = 258,269.00

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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.