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Finding the Fourth Proportional to 285,509.43, 393,824.61 and 183,667.50

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Solution

The fourth proportional to 285,509.43, 393,824.61 and 183,667.50 is: 253,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,509.43 : 393,824.61 = 183,667.50 : x
  2. Step 2: Convert to fraction form
    285,509.43/393,824.61 = 183,667.50/x
  3. Step 3: Cross multiply
    285,509.43x = 393,824.61 × 183,667.50
  4. Step 4: Simplify right side
    285,509.43x = 72,332,781,557.18
  5. Step 5: Solve for x
    x = 72,332,781,557.18/285,509.43
  6. Step 6: Final answer
    x = 253,346.38

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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.