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Finding the Fourth Proportional to 476,633.16, 715,052.61 and 161,083.08

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Solution

The fourth proportional to 476,633.16, 715,052.61 and 161,083.08 is: 241,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,633.16 : 715,052.61 = 161,083.08 : x
  2. Step 2: Convert to fraction form
    476,633.16/715,052.61 = 161,083.08/x
  3. Step 3: Cross multiply
    476,633.16x = 715,052.61 × 161,083.08
  4. Step 4: Simplify right side
    476,633.16x = 115,182,876,780.84
  5. Step 5: Solve for x
    x = 115,182,876,780.84/476,633.16
  6. Step 6: Final answer
    x = 241,659.39

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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.