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Finding the Fourth Proportional to 509,373.48, 764,212.86 and 205,611.24

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Solution

The fourth proportional to 509,373.48, 764,212.86 and 205,611.24 is: 308,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,373.48 : 764,212.86 = 205,611.24 : x
  2. Step 2: Convert to fraction form
    509,373.48/764,212.86 = 205,611.24/x
  3. Step 3: Cross multiply
    509,373.48x = 764,212.86 × 205,611.24
  4. Step 4: Simplify right side
    509,373.48x = 157,130,753,768.55
  5. Step 5: Solve for x
    x = 157,130,753,768.55/509,373.48
  6. Step 6: Final answer
    x = 308,478.47

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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.