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Finding the Fourth Proportional to 557,098.89, 768,796.46 and 302,450.07

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Solution

The fourth proportional to 557,098.89, 768,796.46 and 302,450.07 is: 417,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,098.89 : 768,796.46 = 302,450.07 : x
  2. Step 2: Convert to fraction form
    557,098.89/768,796.46 = 302,450.07/x
  3. Step 3: Cross multiply
    557,098.89x = 768,796.46 × 302,450.07
  4. Step 4: Simplify right side
    557,098.89x = 232,522,543,142.75
  5. Step 5: Solve for x
    x = 232,522,543,142.75/557,098.89
  6. Step 6: Final answer
    x = 417,381.10

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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.