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Finding the Fourth Proportional to 304,930.50, 420,804.09 and 185,698.50

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Solution

The fourth proportional to 304,930.50, 420,804.09 and 185,698.50 is: 256,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,930.50 : 420,804.09 = 185,698.50 : x
  2. Step 2: Convert to fraction form
    304,930.50/420,804.09 = 185,698.50/x
  3. Step 3: Cross multiply
    304,930.50x = 420,804.09 × 185,698.50
  4. Step 4: Simplify right side
    304,930.50x = 78,142,688,306.87
  5. Step 5: Solve for x
    x = 78,142,688,306.87/304,930.50
  6. Step 6: Final answer
    x = 256,263.93

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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.