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Finding the Fourth Proportional to 307,543.84, 461,383.49 and 94,341.11

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Solution

The fourth proportional to 307,543.84, 461,383.49 and 94,341.11 is: 141,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,543.84 : 461,383.49 = 94,341.11 : x
  2. Step 2: Convert to fraction form
    307,543.84/461,383.49 = 94,341.11/x
  3. Step 3: Cross multiply
    307,543.84x = 461,383.49 × 94,341.11
  4. Step 4: Simplify right side
    307,543.84x = 43,527,428,511.21
  5. Step 5: Solve for x
    x = 43,527,428,511.21/307,543.84
  6. Step 6: Final answer
    x = 141,532.44

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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.