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Finding the Fourth Proportional to 333,668.81, 460,460.84 and 180,704.56

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Solution

The fourth proportional to 333,668.81, 460,460.84 and 180,704.56 is: 249,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,668.81 : 460,460.84 = 180,704.56 : x
  2. Step 2: Convert to fraction form
    333,668.81/460,460.84 = 180,704.56/x
  3. Step 3: Cross multiply
    333,668.81x = 460,460.84 × 180,704.56
  4. Step 4: Simplify right side
    333,668.81x = 83,207,370,283.60
  5. Step 5: Solve for x
    x = 83,207,370,283.60/333,668.81
  6. Step 6: Final answer
    x = 249,371.14

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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.