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Finding the Fourth Proportional to 353,713.07, 488,126.99 and 192,569.24

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Solution

The fourth proportional to 353,713.07, 488,126.99 and 192,569.24 is: 265,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,713.07 : 488,126.99 = 192,569.24 : x
  2. Step 2: Convert to fraction form
    353,713.07/488,126.99 = 192,569.24/x
  3. Step 3: Cross multiply
    353,713.07x = 488,126.99 × 192,569.24
  4. Step 4: Simplify right side
    353,713.07x = 93,998,243,487.79
  5. Step 5: Solve for x
    x = 93,998,243,487.79/353,713.07
  6. Step 6: Final answer
    x = 265,747.16

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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.