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Finding the Fourth Proportional to 307,570.52, 461,315.25 and 91,424.66

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Solution

The fourth proportional to 307,570.52, 461,315.25 and 91,424.66 is: 137,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,570.52 : 461,315.25 = 91,424.66 : x
  2. Step 2: Convert to fraction form
    307,570.52/461,315.25 = 91,424.66/x
  3. Step 3: Cross multiply
    307,570.52x = 461,315.25 × 91,424.66
  4. Step 4: Simplify right side
    307,570.52x = 42,175,587,577.49
  5. Step 5: Solve for x
    x = 42,175,587,577.49/307,570.52
  6. Step 6: Final answer
    x = 137,124.94

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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.