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Finding the Fourth Proportional to 302,561.70, 454,826.70 and 214,425.60

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Solution

The fourth proportional to 302,561.70, 454,826.70 and 214,425.60 is: 322,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,561.70 : 454,826.70 = 214,425.60 : x
  2. Step 2: Convert to fraction form
    302,561.70/454,826.70 = 214,425.60/x
  3. Step 3: Cross multiply
    302,561.70x = 454,826.70 × 214,425.60
  4. Step 4: Simplify right side
    302,561.70x = 97,526,488,043.52
  5. Step 5: Solve for x
    x = 97,526,488,043.52/302,561.70
  6. Step 6: Final answer
    x = 322,335.87

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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.