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Finding the Fourth Proportional to 315,959.83, 473,893.03 and 116,233.51

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Solution

The fourth proportional to 315,959.83, 473,893.03 and 116,233.51 is: 174,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,959.83 : 473,893.03 = 116,233.51 : x
  2. Step 2: Convert to fraction form
    315,959.83/473,893.03 = 116,233.51/x
  3. Step 3: Cross multiply
    315,959.83x = 473,893.03 × 116,233.51
  4. Step 4: Simplify right side
    315,959.83x = 55,082,250,241.44
  5. Step 5: Solve for x
    x = 55,082,250,241.44/315,959.83
  6. Step 6: Final answer
    x = 174,333.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.