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Finding the Fourth Proportional to 304,144.79, 419,715.42 and 168,175.74

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Solution

The fourth proportional to 304,144.79, 419,715.42 and 168,175.74 is: 232,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,144.79 : 419,715.42 = 168,175.74 : x
  2. Step 2: Convert to fraction form
    304,144.79/419,715.42 = 168,175.74/x
  3. Step 3: Cross multiply
    304,144.79x = 419,715.42 × 168,175.74
  4. Step 4: Simplify right side
    304,144.79x = 70,585,952,291.18
  5. Step 5: Solve for x
    x = 70,585,952,291.18/304,144.79
  6. Step 6: Final answer
    x = 232,080.10

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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.