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Finding the Fourth Proportional to 304,097.12, 419,720.68 and 176,846.12

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Solution

The fourth proportional to 304,097.12, 419,720.68 and 176,846.12 is: 244,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,097.12 : 419,720.68 = 176,846.12 : x
  2. Step 2: Convert to fraction form
    304,097.12/419,720.68 = 176,846.12/x
  3. Step 3: Cross multiply
    304,097.12x = 419,720.68 × 176,846.12
  4. Step 4: Simplify right side
    304,097.12x = 74,225,973,741.76
  5. Step 5: Solve for x
    x = 74,225,973,741.76/304,097.12
  6. Step 6: Final answer
    x = 244,086.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.