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Finding the Fourth Proportional to 381,696.90, 572,084.55 and 194,612.10

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Solution

The fourth proportional to 381,696.90, 572,084.55 and 194,612.10 is: 291,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,696.90 : 572,084.55 = 194,612.10 : x
  2. Step 2: Convert to fraction form
    381,696.90/572,084.55 = 194,612.10/x
  3. Step 3: Cross multiply
    381,696.90x = 572,084.55 × 194,612.10
  4. Step 4: Simplify right side
    381,696.90x = 111,334,575,653.06
  5. Step 5: Solve for x
    x = 111,334,575,653.06/381,696.90
  6. Step 6: Final answer
    x = 291,683.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.