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Finding the Fourth Proportional to 520,255.84, 717,740.58 and 412,393

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Solution

The fourth proportional to 520,255.84, 717,740.58 and 412,393 is: 568,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,255.84 : 717,740.58 = 412,393 : x
  2. Step 2: Convert to fraction form
    520,255.84/717,740.58 = 412,393/x
  3. Step 3: Cross multiply
    520,255.84x = 717,740.58 × 412,393
  4. Step 4: Simplify right side
    520,255.84x = 295,991,191,007.94
  5. Step 5: Solve for x
    x = 295,991,191,007.94/520,255.84
  6. Step 6: Final answer
    x = 568,933.91

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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.