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Finding the Fourth Proportional to 329,070.70, 493,606.05 and 214,909.30

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Solution

The fourth proportional to 329,070.70, 493,606.05 and 214,909.30 is: 322,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,070.70 : 493,606.05 = 214,909.30 : x
  2. Step 2: Convert to fraction form
    329,070.70/493,606.05 = 214,909.30/x
  3. Step 3: Cross multiply
    329,070.70x = 493,606.05 × 214,909.30
  4. Step 4: Simplify right side
    329,070.70x = 106,080,530,681.27
  5. Step 5: Solve for x
    x = 106,080,530,681.27/329,070.70
  6. Step 6: Final answer
    x = 322,363.95

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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.