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Finding the Fourth Proportional to 345,269.84, 476,461.32 and 194,346.32

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Solution

The fourth proportional to 345,269.84, 476,461.32 and 194,346.32 is: 268,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,269.84 : 476,461.32 = 194,346.32 : x
  2. Step 2: Convert to fraction form
    345,269.84/476,461.32 = 194,346.32/x
  3. Step 3: Cross multiply
    345,269.84x = 476,461.32 × 194,346.32
  4. Step 4: Simplify right side
    345,269.84x = 92,598,504,164.34
  5. Step 5: Solve for x
    x = 92,598,504,164.34/345,269.84
  6. Step 6: Final answer
    x = 268,191.70

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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.