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Finding the Fourth Proportional to 471,531.29, 707,297.16 and 155,988.20

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Solution

The fourth proportional to 471,531.29, 707,297.16 and 155,988.20 is: 233,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,531.29 : 707,297.16 = 155,988.20 : x
  2. Step 2: Convert to fraction form
    471,531.29/707,297.16 = 155,988.20/x
  3. Step 3: Cross multiply
    471,531.29x = 707,297.16 × 155,988.20
  4. Step 4: Simplify right side
    471,531.29x = 110,330,010,853.51
  5. Step 5: Solve for x
    x = 110,330,010,853.51/471,531.29
  6. Step 6: Final answer
    x = 233,982.37

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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.