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Finding the Fourth Proportional to 513,210.94, 708,202.50 and 283,754.44

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Solution

The fourth proportional to 513,210.94, 708,202.50 and 283,754.44 is: 391,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,210.94 : 708,202.50 = 283,754.44 : x
  2. Step 2: Convert to fraction form
    513,210.94/708,202.50 = 283,754.44/x
  3. Step 3: Cross multiply
    513,210.94x = 708,202.50 × 283,754.44
  4. Step 4: Simplify right side
    513,210.94x = 200,955,605,610.42
  5. Step 5: Solve for x
    x = 200,955,605,610.42/513,210.94
  6. Step 6: Final answer
    x = 391,565.32

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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.