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Finding the Fourth Proportional to 304,154.40, 419,717.52 and 170,018.40

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Solution

The fourth proportional to 304,154.40, 419,717.52 and 170,018.40 is: 234,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,154.40 : 419,717.52 = 170,018.40 : x
  2. Step 2: Convert to fraction form
    304,154.40/419,717.52 = 170,018.40/x
  3. Step 3: Cross multiply
    304,154.40x = 419,717.52 × 170,018.40
  4. Step 4: Simplify right side
    304,154.40x = 71,359,701,202.37
  5. Step 5: Solve for x
    x = 71,359,701,202.37/304,154.40
  6. Step 6: Final answer
    x = 234,616.70

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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.