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Finding the Fourth Proportional to 307,405.76, 461,056.49 and 82,716.11

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Solution

The fourth proportional to 307,405.76, 461,056.49 and 82,716.11 is: 124,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,405.76 : 461,056.49 = 82,716.11 : x
  2. Step 2: Convert to fraction form
    307,405.76/461,056.49 = 82,716.11/x
  3. Step 3: Cross multiply
    307,405.76x = 461,056.49 × 82,716.11
  4. Step 4: Simplify right side
    307,405.76x = 38,136,798,663.34
  5. Step 5: Solve for x
    x = 38,136,798,663.34/307,405.76
  6. Step 6: Final answer
    x = 124,060.13

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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.