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Finding the Fourth Proportional to 357,126.84, 492,838.74 and 195,992.28

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Solution

The fourth proportional to 357,126.84, 492,838.74 and 195,992.28 is: 270,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126.84 : 492,838.74 = 195,992.28 : x
  2. Step 2: Convert to fraction form
    357,126.84/492,838.74 = 195,992.28/x
  3. Step 3: Cross multiply
    357,126.84x = 492,838.74 × 195,992.28
  4. Step 4: Simplify right side
    357,126.84x = 96,592,588,324.93
  5. Step 5: Solve for x
    x = 96,592,588,324.93/357,126.84
  6. Step 6: Final answer
    x = 270,471.38

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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.