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Finding the Fourth Proportional to 307,744.46, 424,758.22 and 180,461.06

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Solution

The fourth proportional to 307,744.46, 424,758.22 and 180,461.06 is: 249,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,744.46 : 424,758.22 = 180,461.06 : x
  2. Step 2: Convert to fraction form
    307,744.46/424,758.22 = 180,461.06/x
  3. Step 3: Cross multiply
    307,744.46x = 424,758.22 × 180,461.06
  4. Step 4: Simplify right side
    307,744.46x = 76,652,319,235.66
  5. Step 5: Solve for x
    x = 76,652,319,235.66/307,744.46
  6. Step 6: Final answer
    x = 249,077.82

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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.