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Finding the Fourth Proportional to 304,792.24, 420,573.44 and 175,735.54

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Solution

The fourth proportional to 304,792.24, 420,573.44 and 175,735.54 is: 242,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,792.24 : 420,573.44 = 175,735.54 : x
  2. Step 2: Convert to fraction form
    304,792.24/420,573.44 = 175,735.54/x
  3. Step 3: Cross multiply
    304,792.24x = 420,573.44 × 175,735.54
  4. Step 4: Simplify right side
    304,792.24x = 73,909,699,709.38
  5. Step 5: Solve for x
    x = 73,909,699,709.38/304,792.24
  6. Step 6: Final answer
    x = 242,492.07

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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.