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Finding the Fourth Proportional to 333,709.82, 460,518.46 and 180,747.65

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Solution

The fourth proportional to 333,709.82, 460,518.46 and 180,747.65 is: 249,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,709.82 : 460,518.46 = 180,747.65 : x
  2. Step 2: Convert to fraction form
    333,709.82/460,518.46 = 180,747.65/x
  3. Step 3: Cross multiply
    333,709.82x = 460,518.46 × 180,747.65
  4. Step 4: Simplify right side
    333,709.82x = 83,237,631,142.75
  5. Step 5: Solve for x
    x = 83,237,631,142.75/333,709.82
  6. Step 6: Final answer
    x = 249,431.17

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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.