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Finding the Fourth Proportional to 471,522.88, 707,271.36 and 205,282.90

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Solution

The fourth proportional to 471,522.88, 707,271.36 and 205,282.90 is: 307,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,522.88 : 707,271.36 = 205,282.90 : x
  2. Step 2: Convert to fraction form
    471,522.88/707,271.36 = 205,282.90/x
  3. Step 3: Cross multiply
    471,522.88x = 707,271.36 × 205,282.90
  4. Step 4: Simplify right side
    471,522.88x = 145,190,715,867.74
  5. Step 5: Solve for x
    x = 145,190,715,867.74/471,522.88
  6. Step 6: Final answer
    x = 307,918.71

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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.