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Finding the Fourth Proportional to 307,755.94, 424,774.05 and 180,472.54

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Solution

The fourth proportional to 307,755.94, 424,774.05 and 180,472.54 is: 249,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,755.94 : 424,774.05 = 180,472.54 : x
  2. Step 2: Convert to fraction form
    307,755.94/424,774.05 = 180,472.54/x
  3. Step 3: Cross multiply
    307,755.94x = 424,774.05 × 180,472.54
  4. Step 4: Simplify right side
    307,755.94x = 76,660,051,729.59
  5. Step 5: Solve for x
    x = 76,660,051,729.59/307,755.94
  6. Step 6: Final answer
    x = 249,093.65

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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.