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Finding the Fourth Proportional to 307,744.71, 424,758.56 and 180,461.31

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Solution

The fourth proportional to 307,744.71, 424,758.56 and 180,461.31 is: 249,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,744.71 : 424,758.56 = 180,461.31 : x
  2. Step 2: Convert to fraction form
    307,744.71/424,758.56 = 180,461.31/x
  3. Step 3: Cross multiply
    307,744.71x = 424,758.56 × 180,461.31
  4. Step 4: Simplify right side
    307,744.71x = 76,652,486,171.31
  5. Step 5: Solve for x
    x = 76,652,486,171.31/307,744.71
  6. Step 6: Final answer
    x = 249,078.16

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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.