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Finding the Fourth Proportional to 576,846.70, 864,063.14 and 463,916.50

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Solution

The fourth proportional to 576,846.70, 864,063.14 and 463,916.50 is: 694,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,846.70 : 864,063.14 = 463,916.50 : x
  2. Step 2: Convert to fraction form
    576,846.70/864,063.14 = 463,916.50/x
  3. Step 3: Cross multiply
    576,846.70x = 864,063.14 × 463,916.50
  4. Step 4: Simplify right side
    576,846.70x = 400,853,147,687.81
  5. Step 5: Solve for x
    x = 400,853,147,687.81/576,846.70
  6. Step 6: Final answer
    x = 694,904.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.