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Finding the Fourth Proportional to 469,893.81, 648,454.04 and 255,033.93

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Solution

The fourth proportional to 469,893.81, 648,454.04 and 255,033.93 is: 351,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,893.81 : 648,454.04 = 255,033.93 : x
  2. Step 2: Convert to fraction form
    469,893.81/648,454.04 = 255,033.93/x
  3. Step 3: Cross multiply
    469,893.81x = 648,454.04 × 255,033.93
  4. Step 4: Simplify right side
    469,893.81x = 165,377,782,698.75
  5. Step 5: Solve for x
    x = 165,377,782,698.75/469,893.81
  6. Step 6: Final answer
    x = 351,947.14

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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.