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Finding the Fourth Proportional to 308,047.80, 462,071.70 and 274,222.20

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Solution

The fourth proportional to 308,047.80, 462,071.70 and 274,222.20 is: 411,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.80 : 462,071.70 = 274,222.20 : x
  2. Step 2: Convert to fraction form
    308,047.80/462,071.70 = 274,222.20/x
  3. Step 3: Cross multiply
    308,047.80x = 462,071.70 × 274,222.20
  4. Step 4: Simplify right side
    308,047.80x = 126,710,318,131.74
  5. Step 5: Solve for x
    x = 126,710,318,131.74/308,047.80
  6. Step 6: Final answer
    x = 411,333.30

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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.