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Finding the Fourth Proportional to 230,646.12, 346,027.50 and 64,434.12

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Solution

The fourth proportional to 230,646.12, 346,027.50 and 64,434.12 is: 96,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,646.12 : 346,027.50 = 64,434.12 : x
  2. Step 2: Convert to fraction form
    230,646.12/346,027.50 = 64,434.12/x
  3. Step 3: Cross multiply
    230,646.12x = 346,027.50 × 64,434.12
  4. Step 4: Simplify right side
    230,646.12x = 22,295,977,458.30
  5. Step 5: Solve for x
    x = 22,295,977,458.30/230,646.12
  6. Step 6: Final answer
    x = 96,667.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.