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Finding the Fourth Proportional to 302,581.70, 454,856.70 and 214,445.60

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Solution

The fourth proportional to 302,581.70, 454,856.70 and 214,445.60 is: 322,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,581.70 : 454,856.70 = 214,445.60 : x
  2. Step 2: Convert to fraction form
    302,581.70/454,856.70 = 214,445.60/x
  3. Step 3: Cross multiply
    302,581.70x = 454,856.70 × 214,445.60
  4. Step 4: Simplify right side
    302,581.70x = 97,542,017,945.52
  5. Step 5: Solve for x
    x = 97,542,017,945.52/302,581.70
  6. Step 6: Final answer
    x = 322,365.89

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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.