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Finding the Fourth Proportional to 304,191.54, 456,351.57 and 114,647.90

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Solution

The fourth proportional to 304,191.54, 456,351.57 and 114,647.90 is: 171,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,191.54 : 456,351.57 = 114,647.90 : x
  2. Step 2: Convert to fraction form
    304,191.54/456,351.57 = 114,647.90/x
  3. Step 3: Cross multiply
    304,191.54x = 456,351.57 × 114,647.90
  4. Step 4: Simplify right side
    304,191.54x = 52,319,746,880.45
  5. Step 5: Solve for x
    x = 52,319,746,880.45/304,191.54
  6. Step 6: Final answer
    x = 171,996.06

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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.