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Finding the Fourth Proportional to 471,529.29, 707,294.16 and 155,986.20

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Solution

The fourth proportional to 471,529.29, 707,294.16 and 155,986.20 is: 233,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,529.29 : 707,294.16 = 155,986.20 : x
  2. Step 2: Convert to fraction form
    471,529.29/707,294.16 = 155,986.20/x
  3. Step 3: Cross multiply
    471,529.29x = 707,294.16 × 155,986.20
  4. Step 4: Simplify right side
    471,529.29x = 110,328,124,764.12
  5. Step 5: Solve for x
    x = 110,328,124,764.12/471,529.29
  6. Step 6: Final answer
    x = 233,979.37

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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.