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Finding the Fourth Proportional to 4,228,172.92, 5,834,894.48 and 2,294,433.90

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Solution

The fourth proportional to 4,228,172.92, 5,834,894.48 and 2,294,433.90 is: 3,166,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228,172.92 : 5,834,894.48 = 2,294,433.90 : x
  2. Step 2: Convert to fraction form
    4,228,172.92/5,834,894.48 = 2,294,433.90/x
  3. Step 3: Cross multiply
    4,228,172.92x = 5,834,894.48 × 2,294,433.90
  4. Step 4: Simplify right side
    4,228,172.92x = 13,387,779,697,834.87
  5. Step 5: Solve for x
    x = 13,387,779,697,834.87/4,228,172.92
  6. Step 6: Final answer
    x = 3,166,327.38

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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.