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Finding the Fourth Proportional to 304,942.50, 420,820.68 and 185,710.50

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Solution

The fourth proportional to 304,942.50, 420,820.68 and 185,710.50 is: 256,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,942.50 : 420,820.68 = 185,710.50 : x
  2. Step 2: Convert to fraction form
    304,942.50/420,820.68 = 185,710.50/x
  3. Step 3: Cross multiply
    304,942.50x = 420,820.68 × 185,710.50
  4. Step 4: Simplify right side
    304,942.50x = 78,150,818,893.14
  5. Step 5: Solve for x
    x = 78,150,818,893.14/304,942.50
  6. Step 6: Final answer
    x = 256,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.