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Finding the Fourth Proportional to 353,823.44, 488,197.30 and 296,693.84

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Solution

The fourth proportional to 353,823.44, 488,197.30 and 296,693.84 is: 409,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,823.44 : 488,197.30 = 296,693.84 : x
  2. Step 2: Convert to fraction form
    353,823.44/488,197.30 = 296,693.84/x
  3. Step 3: Cross multiply
    353,823.44x = 488,197.30 × 296,693.84
  4. Step 4: Simplify right side
    353,823.44x = 144,845,131,614.63
  5. Step 5: Solve for x
    x = 144,845,131,614.63/353,823.44
  6. Step 6: Final answer
    x = 409,371.22

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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.