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Finding the Fourth Proportional to 308,071.96, 462,172.76 and 175,013.80

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Solution

The fourth proportional to 308,071.96, 462,172.76 and 175,013.80 is: 262,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,071.96 : 462,172.76 = 175,013.80 : x
  2. Step 2: Convert to fraction form
    308,071.96/462,172.76 = 175,013.80/x
  3. Step 3: Cross multiply
    308,071.96x = 462,172.76 × 175,013.80
  4. Step 4: Simplify right side
    308,071.96x = 80,886,610,984.09
  5. Step 5: Solve for x
    x = 80,886,610,984.09/308,071.96
  6. Step 6: Final answer
    x = 262,557.52

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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.