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Finding the Fourth Proportional to 530,684.84, 796,025.46 and 215,141

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Solution

The fourth proportional to 530,684.84, 796,025.46 and 215,141 is: 322,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,684.84 : 796,025.46 = 215,141 : x
  2. Step 2: Convert to fraction form
    530,684.84/796,025.46 = 215,141/x
  3. Step 3: Cross multiply
    530,684.84x = 796,025.46 × 215,141
  4. Step 4: Simplify right side
    530,684.84x = 171,257,713,489.86
  5. Step 5: Solve for x
    x = 171,257,713,489.86/530,684.84
  6. Step 6: Final answer
    x = 322,710.77

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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.