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Finding the Fourth Proportional to 475,082.01, 711,934.11 and 261,893.25

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Solution

The fourth proportional to 475,082.01, 711,934.11 and 261,893.25 is: 392,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,082.01 : 711,934.11 = 261,893.25 : x
  2. Step 2: Convert to fraction form
    475,082.01/711,934.11 = 261,893.25/x
  3. Step 3: Cross multiply
    475,082.01x = 711,934.11 × 261,893.25
  4. Step 4: Simplify right side
    475,082.01x = 186,450,737,853.76
  5. Step 5: Solve for x
    x = 186,450,737,853.76/475,082.01
  6. Step 6: Final answer
    x = 392,460.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.