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Finding the Fourth Proportional to 308,094.60, 424,943.10 and 194,808

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Solution

The fourth proportional to 308,094.60, 424,943.10 and 194,808 is: 268,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,094.60 : 424,943.10 = 194,808 : x
  2. Step 2: Convert to fraction form
    308,094.60/424,943.10 = 194,808/x
  3. Step 3: Cross multiply
    308,094.60x = 424,943.10 × 194,808
  4. Step 4: Simplify right side
    308,094.60x = 82,782,315,424.80
  5. Step 5: Solve for x
    x = 82,782,315,424.80/308,094.60
  6. Step 6: Final answer
    x = 268,691.22

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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.