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Finding the Fourth Proportional to 308,810.76, 462,997.44 and 119,111.60

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Solution

The fourth proportional to 308,810.76, 462,997.44 and 119,111.60 is: 178,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,810.76 : 462,997.44 = 119,111.60 : x
  2. Step 2: Convert to fraction form
    308,810.76/462,997.44 = 119,111.60/x
  3. Step 3: Cross multiply
    308,810.76x = 462,997.44 × 119,111.60
  4. Step 4: Simplify right side
    308,810.76x = 55,148,363,559.32
  5. Step 5: Solve for x
    x = 55,148,363,559.32/308,810.76
  6. Step 6: Final answer
    x = 178,583.04

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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.