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Finding the Fourth Proportional to 301,102.80, 451,654.20 and 296,437.20

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Solution

The fourth proportional to 301,102.80, 451,654.20 and 296,437.20 is: 444,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,102.80 : 451,654.20 = 296,437.20 : x
  2. Step 2: Convert to fraction form
    301,102.80/451,654.20 = 296,437.20/x
  3. Step 3: Cross multiply
    301,102.80x = 451,654.20 × 296,437.20
  4. Step 4: Simplify right side
    301,102.80x = 133,887,106,416.24
  5. Step 5: Solve for x
    x = 133,887,106,416.24/301,102.80
  6. Step 6: Final answer
    x = 444,655.80

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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.