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Finding the Fourth Proportional to 302,572.70, 454,843.20 and 214,436.60

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Solution

The fourth proportional to 302,572.70, 454,843.20 and 214,436.60 is: 322,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,572.70 : 454,843.20 = 214,436.60 : x
  2. Step 2: Convert to fraction form
    302,572.70/454,843.20 = 214,436.60/x
  3. Step 3: Cross multiply
    302,572.70x = 454,843.20 × 214,436.60
  4. Step 4: Simplify right side
    302,572.70x = 97,535,029,341.12
  5. Step 5: Solve for x
    x = 97,535,029,341.12/302,572.70
  6. Step 6: Final answer
    x = 322,352.38

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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.