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Finding the Fourth Proportional to 304,320.51, 419,974.74 and 168,352.16

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Solution

The fourth proportional to 304,320.51, 419,974.74 and 168,352.16 is: 232,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,320.51 : 419,974.74 = 168,352.16 : x
  2. Step 2: Convert to fraction form
    304,320.51/419,974.74 = 168,352.16/x
  3. Step 3: Cross multiply
    304,320.51x = 419,974.74 × 168,352.16
  4. Step 4: Simplify right side
    304,320.51x = 70,703,652,524.56
  5. Step 5: Solve for x
    x = 70,703,652,524.56/304,320.51
  6. Step 6: Final answer
    x = 232,332.85

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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.