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Finding the Fourth Proportional to 312,713.73, 469,066.14 and 76,056.84

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Solution

The fourth proportional to 312,713.73, 469,066.14 and 76,056.84 is: 114,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,713.73 : 469,066.14 = 76,056.84 : x
  2. Step 2: Convert to fraction form
    312,713.73/469,066.14 = 76,056.84/x
  3. Step 3: Cross multiply
    312,713.73x = 469,066.14 × 76,056.84
  4. Step 4: Simplify right side
    312,713.73x = 35,675,688,359.40
  5. Step 5: Solve for x
    x = 35,675,688,359.40/312,713.73
  6. Step 6: Final answer
    x = 114,084.18

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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.