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Finding the Fourth Proportional to 354,198.09, 488,790.24 and 193,053.15

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Solution

The fourth proportional to 354,198.09, 488,790.24 and 193,053.15 is: 266,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,198.09 : 488,790.24 = 193,053.15 : x
  2. Step 2: Convert to fraction form
    354,198.09/488,790.24 = 193,053.15/x
  3. Step 3: Cross multiply
    354,198.09x = 488,790.24 × 193,053.15
  4. Step 4: Simplify right side
    354,198.09x = 94,362,495,521.26
  5. Step 5: Solve for x
    x = 94,362,495,521.26/354,198.09
  6. Step 6: Final answer
    x = 266,411.64

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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.