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Finding the Fourth Proportional to 230,866.56, 346,300.04 and 184,414.68

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Solution

The fourth proportional to 230,866.56, 346,300.04 and 184,414.68 is: 276,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,866.56 : 346,300.04 = 184,414.68 : x
  2. Step 2: Convert to fraction form
    230,866.56/346,300.04 = 184,414.68/x
  3. Step 3: Cross multiply
    230,866.56x = 346,300.04 × 184,414.68
  4. Step 4: Simplify right side
    230,866.56x = 63,862,811,060.59
  5. Step 5: Solve for x
    x = 63,862,811,060.59/230,866.56
  6. Step 6: Final answer
    x = 276,622.18

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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.