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Finding the Fourth Proportional to 365,261, 547,891.70 and 115,943

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Solution

The fourth proportional to 365,261, 547,891.70 and 115,943 is: 173,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,261 : 547,891.70 = 115,943 : x
  2. Step 2: Convert to fraction form
    365,261/547,891.70 = 115,943/x
  3. Step 3: Cross multiply
    365,261x = 547,891.70 × 115,943
  4. Step 4: Simplify right side
    365,261x = 63,524,207,373.10
  5. Step 5: Solve for x
    x = 63,524,207,373.10/365,261
  6. Step 6: Final answer
    x = 173,914.56

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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.