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Finding the Fourth Proportional to 304,041.40, 455,471.52 and 146,380.48

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Solution

The fourth proportional to 304,041.40, 455,471.52 and 146,380.48 is: 219,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,041.40 : 455,471.52 = 146,380.48 : x
  2. Step 2: Convert to fraction form
    304,041.40/455,471.52 = 146,380.48/x
  3. Step 3: Cross multiply
    304,041.40x = 455,471.52 × 146,380.48
  4. Step 4: Simplify right side
    304,041.40x = 66,672,139,723.93
  5. Step 5: Solve for x
    x = 66,672,139,723.93/304,041.40
  6. Step 6: Final answer
    x = 219,286.39

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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.