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Finding the Fourth Proportional to 307,066.49, 460,536.23 and 82,373.66

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Solution

The fourth proportional to 307,066.49, 460,536.23 and 82,373.66 is: 123,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,066.49 : 460,536.23 = 82,373.66 : x
  2. Step 2: Convert to fraction form
    307,066.49/460,536.23 = 82,373.66/x
  3. Step 3: Cross multiply
    307,066.49x = 460,536.23 × 82,373.66
  4. Step 4: Simplify right side
    307,066.49x = 37,936,054,457.97
  5. Step 5: Solve for x
    x = 37,936,054,457.97/307,066.49
  6. Step 6: Final answer
    x = 123,543.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.