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Finding the Fourth Proportional to 302,294.70, 454,426.20 and 214,158.60

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Solution

The fourth proportional to 302,294.70, 454,426.20 and 214,158.60 is: 321,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,294.70 : 454,426.20 = 214,158.60 : x
  2. Step 2: Convert to fraction form
    302,294.70/454,426.20 = 214,158.60/x
  3. Step 3: Cross multiply
    302,294.70x = 454,426.20 × 214,158.60
  4. Step 4: Simplify right side
    302,294.70x = 97,319,278,795.32
  5. Step 5: Solve for x
    x = 97,319,278,795.32/302,294.70
  6. Step 6: Final answer
    x = 321,935.11

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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.