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Finding the Fourth Proportional to 353,972.02, 488,475.75 and 192,829

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Solution

The fourth proportional to 353,972.02, 488,475.75 and 192,829 is: 266,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,972.02 : 488,475.75 = 192,829 : x
  2. Step 2: Convert to fraction form
    353,972.02/488,475.75 = 192,829/x
  3. Step 3: Cross multiply
    353,972.02x = 488,475.75 × 192,829
  4. Step 4: Simplify right side
    353,972.02x = 94,192,290,396.75
  5. Step 5: Solve for x
    x = 94,192,290,396.75/353,972.02
  6. Step 6: Final answer
    x = 266,100.95

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1.5x scale

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.