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Finding the Fourth Proportional to 362,929.50, 500,842.71 and 203,953.50

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Solution

The fourth proportional to 362,929.50, 500,842.71 and 203,953.50 is: 281,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,929.50 : 500,842.71 = 203,953.50 : x
  2. Step 2: Convert to fraction form
    362,929.50/500,842.71 = 203,953.50/x
  3. Step 3: Cross multiply
    362,929.50x = 500,842.71 × 203,953.50
  4. Step 4: Simplify right side
    362,929.50x = 102,148,623,653.99
  5. Step 5: Solve for x
    x = 102,148,623,653.99/362,929.50
  6. Step 6: Final answer
    x = 281,455.83

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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.