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Finding the Fourth Proportional to 471,529.35, 707,294.25 and 155,986.25

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Solution

The fourth proportional to 471,529.35, 707,294.25 and 155,986.25 is: 233,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,529.35 : 707,294.25 = 155,986.25 : x
  2. Step 2: Convert to fraction form
    471,529.35/707,294.25 = 155,986.25/x
  3. Step 3: Cross multiply
    471,529.35x = 707,294.25 × 155,986.25
  4. Step 4: Simplify right side
    471,529.35x = 110,328,177,704.06
  5. Step 5: Solve for x
    x = 110,328,177,704.06/471,529.35
  6. Step 6: Final answer
    x = 233,979.45

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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.