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Finding the Fourth Proportional to 461,991.94, 637,542.16 and 258,045.76

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Solution

The fourth proportional to 461,991.94, 637,542.16 and 258,045.76 is: 356,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,991.94 : 637,542.16 = 258,045.76 : x
  2. Step 2: Convert to fraction form
    461,991.94/637,542.16 = 258,045.76/x
  3. Step 3: Cross multiply
    461,991.94x = 637,542.16 × 258,045.76
  4. Step 4: Simplify right side
    461,991.94x = 164,515,051,361.06
  5. Step 5: Solve for x
    x = 164,515,051,361.06/461,991.94
  6. Step 6: Final answer
    x = 356,099.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.