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Finding the Fourth Proportional to 333,651.65, 460,441.53 and 180,689.96

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Solution

The fourth proportional to 333,651.65, 460,441.53 and 180,689.96 is: 249,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,651.65 : 460,441.53 = 180,689.96 : x
  2. Step 2: Convert to fraction form
    333,651.65/460,441.53 = 180,689.96/x
  3. Step 3: Cross multiply
    333,651.65x = 460,441.53 × 180,689.96
  4. Step 4: Simplify right side
    333,651.65x = 83,197,162,789.14
  5. Step 5: Solve for x
    x = 83,197,162,789.14/333,651.65
  6. Step 6: Final answer
    x = 249,353.37

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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.