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Finding the Fourth Proportional to 576,846.69, 864,063.13 and 463,916.49

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Solution

The fourth proportional to 576,846.69, 864,063.13 and 463,916.49 is: 694,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,846.69 : 864,063.13 = 463,916.49 : x
  2. Step 2: Convert to fraction form
    576,846.69/864,063.13 = 463,916.49/x
  3. Step 3: Cross multiply
    576,846.69x = 864,063.13 × 463,916.49
  4. Step 4: Simplify right side
    576,846.69x = 400,853,134,408.01
  5. Step 5: Solve for x
    x = 400,853,134,408.01/576,846.69
  6. Step 6: Final answer
    x = 694,904.11

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Why These Related Problems?

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