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Finding the Fourth Proportional to 513,474, 708,539.64 and 283,994.88

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Solution

The fourth proportional to 513,474, 708,539.64 and 283,994.88 is: 391,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,474 : 708,539.64 = 283,994.88 : x
  2. Step 2: Convert to fraction form
    513,474/708,539.64 = 283,994.88/x
  3. Step 3: Cross multiply
    513,474x = 708,539.64 × 283,994.88
  4. Step 4: Simplify right side
    513,474x = 201,221,630,037.04
  5. Step 5: Solve for x
    x = 201,221,630,037.04/513,474
  6. Step 6: Final answer
    x = 391,882.80

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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.