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Finding the Fourth Proportional to 302,573.70, 454,844.70 and 214,437.60

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Solution

The fourth proportional to 302,573.70, 454,844.70 and 214,437.60 is: 322,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,573.70 : 454,844.70 = 214,437.60 : x
  2. Step 2: Convert to fraction form
    302,573.70/454,844.70 = 214,437.60/x
  3. Step 3: Cross multiply
    302,573.70x = 454,844.70 × 214,437.60
  4. Step 4: Simplify right side
    302,573.70x = 97,535,805,840.72
  5. Step 5: Solve for x
    x = 97,535,805,840.72/302,573.70
  6. Step 6: Final answer
    x = 322,353.88

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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.