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Finding the Fourth Proportional to 653,907.34, 902,363.34 and 382,000.42

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Solution

The fourth proportional to 653,907.34, 902,363.34 and 382,000.42 is: 527,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,907.34 : 902,363.34 = 382,000.42 : x
  2. Step 2: Convert to fraction form
    653,907.34/902,363.34 = 382,000.42/x
  3. Step 3: Cross multiply
    653,907.34x = 902,363.34 × 382,000.42
  4. Step 4: Simplify right side
    653,907.34x = 344,703,174,872.60
  5. Step 5: Solve for x
    x = 344,703,174,872.60/653,907.34
  6. Step 6: Final answer
    x = 527,143.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.