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Finding the Fourth Proportional to 513,184.24, 708,165.54 and 283,728.16

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Solution

The fourth proportional to 513,184.24, 708,165.54 and 283,728.16 is: 391,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,184.24 : 708,165.54 = 283,728.16 : x
  2. Step 2: Convert to fraction form
    513,184.24/708,165.54 = 283,728.16/x
  3. Step 3: Cross multiply
    513,184.24x = 708,165.54 × 283,728.16
  4. Step 4: Simplify right side
    513,184.24x = 200,926,505,639.61
  5. Step 5: Solve for x
    x = 200,926,505,639.61/513,184.24
  6. Step 6: Final answer
    x = 391,528.99

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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.