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Finding the Fourth Proportional to 323,903.76, 446,986.02 and 180,663.69

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Solution

The fourth proportional to 323,903.76, 446,986.02 and 180,663.69 is: 249,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,903.76 : 446,986.02 = 180,663.69 : x
  2. Step 2: Convert to fraction form
    323,903.76/446,986.02 = 180,663.69/x
  3. Step 3: Cross multiply
    323,903.76x = 446,986.02 × 180,663.69
  4. Step 4: Simplify right side
    323,903.76x = 80,754,143,751.61
  5. Step 5: Solve for x
    x = 80,754,143,751.61/323,903.76
  6. Step 6: Final answer
    x = 249,315.24

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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.