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Finding the Fourth Proportional to 333,674.82, 460,468.96 and 180,709.49

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Solution

The fourth proportional to 333,674.82, 460,468.96 and 180,709.49 is: 249,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,674.82 : 460,468.96 = 180,709.49 : x
  2. Step 2: Convert to fraction form
    333,674.82/460,468.96 = 180,709.49/x
  3. Step 3: Cross multiply
    333,674.82x = 460,468.96 × 180,709.49
  4. Step 4: Simplify right side
    333,674.82x = 83,211,110,922.43
  5. Step 5: Solve for x
    x = 83,211,110,922.43/333,674.82
  6. Step 6: Final answer
    x = 249,377.86

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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.