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Finding the Fourth Proportional to 333,788.49, 500,564.88 and 144,241.20

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Solution

The fourth proportional to 333,788.49, 500,564.88 and 144,241.20 is: 216,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,788.49 : 500,564.88 = 144,241.20 : x
  2. Step 2: Convert to fraction form
    333,788.49/500,564.88 = 144,241.20/x
  3. Step 3: Cross multiply
    333,788.49x = 500,564.88 × 144,241.20
  4. Step 4: Simplify right side
    333,788.49x = 72,202,078,969.06
  5. Step 5: Solve for x
    x = 72,202,078,969.06/333,788.49
  6. Step 6: Final answer
    x = 216,310.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.