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Finding the Fourth Proportional to 296,994.54, 445,713.23 and 119,503.06

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Solution

The fourth proportional to 296,994.54, 445,713.23 and 119,503.06 is: 179,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,994.54 : 445,713.23 = 119,503.06 : x
  2. Step 2: Convert to fraction form
    296,994.54/445,713.23 = 119,503.06/x
  3. Step 3: Cross multiply
    296,994.54x = 445,713.23 × 119,503.06
  4. Step 4: Simplify right side
    296,994.54x = 53,264,094,867.48
  5. Step 5: Solve for x
    x = 53,264,094,867.48/296,994.54
  6. Step 6: Final answer
    x = 179,343.68

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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.