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Finding the Fourth Proportional to 353,911.78, 488,381.43 and 192,766.06

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Solution

The fourth proportional to 353,911.78, 488,381.43 and 192,766.06 is: 266,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,911.78 : 488,381.43 = 192,766.06 : x
  2. Step 2: Convert to fraction form
    353,911.78/488,381.43 = 192,766.06/x
  3. Step 3: Cross multiply
    353,911.78x = 488,381.43 × 192,766.06
  4. Step 4: Simplify right side
    353,911.78x = 94,143,364,038.27
  5. Step 5: Solve for x
    x = 94,143,364,038.27/353,911.78
  6. Step 6: Final answer
    x = 266,008.00

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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.