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Finding the Fourth Proportional to 534,690.62, 802,137.08 and 214,867.38

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Solution

The fourth proportional to 534,690.62, 802,137.08 and 214,867.38 is: 322,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,690.62 : 802,137.08 = 214,867.38 : x
  2. Step 2: Convert to fraction form
    534,690.62/802,137.08 = 214,867.38/x
  3. Step 3: Cross multiply
    534,690.62x = 802,137.08 × 214,867.38
  4. Step 4: Simplify right side
    534,690.62x = 172,353,092,780.45
  5. Step 5: Solve for x
    x = 172,353,092,780.45/534,690.62
  6. Step 6: Final answer
    x = 322,341.72

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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.