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Finding the Fourth Proportional to 336,307.80, 464,082.30 and 193,047.96

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Solution

The fourth proportional to 336,307.80, 464,082.30 and 193,047.96 is: 266,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,307.80 : 464,082.30 = 193,047.96 : x
  2. Step 2: Convert to fraction form
    336,307.80/464,082.30 = 193,047.96/x
  3. Step 3: Cross multiply
    336,307.80x = 464,082.30 × 193,047.96
  4. Step 4: Simplify right side
    336,307.80x = 89,590,141,287.11
  5. Step 5: Solve for x
    x = 89,590,141,287.11/336,307.80
  6. Step 6: Final answer
    x = 266,393.29

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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.