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Finding the Fourth Proportional to 304,051.41, 419,588.10 and 168,088.86

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Solution

The fourth proportional to 304,051.41, 419,588.10 and 168,088.86 is: 231,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,051.41 : 419,588.10 = 168,088.86 : x
  2. Step 2: Convert to fraction form
    304,051.41/419,588.10 = 168,088.86/x
  3. Step 3: Cross multiply
    304,051.41x = 419,588.10 × 168,088.86
  4. Step 4: Simplify right side
    304,051.41x = 70,528,085,398.57
  5. Step 5: Solve for x
    x = 70,528,085,398.57/304,051.41
  6. Step 6: Final answer
    x = 231,961.05

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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.