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Finding the Fourth Proportional to 307,862.40, 461,747.43 and 97,473

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Solution

The fourth proportional to 307,862.40, 461,747.43 and 97,473 is: 146,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,862.40 : 461,747.43 = 97,473 : x
  2. Step 2: Convert to fraction form
    307,862.40/461,747.43 = 97,473/x
  3. Step 3: Cross multiply
    307,862.40x = 461,747.43 × 97,473
  4. Step 4: Simplify right side
    307,862.40x = 45,007,907,244.39
  5. Step 5: Solve for x
    x = 45,007,907,244.39/307,862.40
  6. Step 6: Final answer
    x = 146,194.88

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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.