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Finding the Fourth Proportional to 304,326.51, 419,983.02 and 168,358.16

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Solution

The fourth proportional to 304,326.51, 419,983.02 and 168,358.16 is: 232,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,326.51 : 419,983.02 = 168,358.16 : x
  2. Step 2: Convert to fraction form
    304,326.51/419,983.02 = 168,358.16/x
  3. Step 3: Cross multiply
    304,326.51x = 419,983.02 × 168,358.16
  4. Step 4: Simplify right side
    304,326.51x = 70,707,566,378.53
  5. Step 5: Solve for x
    x = 70,707,566,378.53/304,326.51
  6. Step 6: Final answer
    x = 232,341.13

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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.