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Finding the Fourth Proportional to 224,902.71, 310,598.15 and 194,542.29

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Solution

The fourth proportional to 224,902.71, 310,598.15 and 194,542.29 is: 268,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,902.71 : 310,598.15 = 194,542.29 : x
  2. Step 2: Convert to fraction form
    224,902.71/310,598.15 = 194,542.29/x
  3. Step 3: Cross multiply
    224,902.71x = 310,598.15 × 194,542.29
  4. Step 4: Simplify right side
    224,902.71x = 60,424,474,398.05
  5. Step 5: Solve for x
    x = 60,424,474,398.05/224,902.71
  6. Step 6: Final answer
    x = 268,669.39

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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.