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Finding the Fourth Proportional to 456,019.72, 629,294.34 and 254,815.72

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Solution

The fourth proportional to 456,019.72, 629,294.34 and 254,815.72 is: 351,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,019.72 : 629,294.34 = 254,815.72 : x
  2. Step 2: Convert to fraction form
    456,019.72/629,294.34 = 254,815.72/x
  3. Step 3: Cross multiply
    456,019.72x = 629,294.34 × 254,815.72
  4. Step 4: Simplify right side
    456,019.72x = 160,354,090,339.03
  5. Step 5: Solve for x
    x = 160,354,090,339.03/456,019.72
  6. Step 6: Final answer
    x = 351,638.50

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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.