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Finding the Fourth Proportional to 530,693.84, 796,038.96 and 215,150

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Solution

The fourth proportional to 530,693.84, 796,038.96 and 215,150 is: 322,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,693.84 : 796,038.96 = 215,150 : x
  2. Step 2: Convert to fraction form
    530,693.84/796,038.96 = 215,150/x
  3. Step 3: Cross multiply
    530,693.84x = 796,038.96 × 215,150
  4. Step 4: Simplify right side
    530,693.84x = 171,267,782,244
  5. Step 5: Solve for x
    x = 171,267,782,244/530,693.84
  6. Step 6: Final answer
    x = 322,724.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.