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Finding the Fourth Proportional to 364,027.30, 546,040.95 and 97,814.73

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Solution

The fourth proportional to 364,027.30, 546,040.95 and 97,814.73 is: 146,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,027.30 : 546,040.95 = 97,814.73 : x
  2. Step 2: Convert to fraction form
    364,027.30/546,040.95 = 97,814.73/x
  3. Step 3: Cross multiply
    364,027.30x = 546,040.95 × 97,814.73
  4. Step 4: Simplify right side
    364,027.30x = 53,410,848,093.19
  5. Step 5: Solve for x
    x = 53,410,848,093.19/364,027.30
  6. Step 6: Final answer
    x = 146,722.10

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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.