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Finding the Fourth Proportional to 720,107.14, 993,717.84 and 414,160.42

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Solution

The fourth proportional to 720,107.14, 993,717.84 and 414,160.42 is: 571,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,107.14 : 993,717.84 = 414,160.42 : x
  2. Step 2: Convert to fraction form
    720,107.14/993,717.84 = 414,160.42/x
  3. Step 3: Cross multiply
    720,107.14x = 993,717.84 × 414,160.42
  4. Step 4: Simplify right side
    720,107.14x = 411,558,597,975.89
  5. Step 5: Solve for x
    x = 411,558,597,975.89/720,107.14
  6. Step 6: Final answer
    x = 571,524.12

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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.