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Finding the Fourth Proportional to 307,866.40, 424,952.40 and 180,593.44

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Solution

The fourth proportional to 307,866.40, 424,952.40 and 180,593.44 is: 249,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866.40 : 424,952.40 = 180,593.44 : x
  2. Step 2: Convert to fraction form
    307,866.40/424,952.40 = 180,593.44/x
  3. Step 3: Cross multiply
    307,866.40x = 424,952.40 × 180,593.44
  4. Step 4: Simplify right side
    307,866.40x = 76,743,615,752.26
  5. Step 5: Solve for x
    x = 76,743,615,752.26/307,866.40
  6. Step 6: Final answer
    x = 249,275.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.