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Finding the Fourth Proportional to 354,194.84, 488,789.25 and 193,050.02

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Solution

The fourth proportional to 354,194.84, 488,789.25 and 193,050.02 is: 266,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,194.84 : 488,789.25 = 193,050.02 : x
  2. Step 2: Convert to fraction form
    354,194.84/488,789.25 = 193,050.02/x
  3. Step 3: Cross multiply
    354,194.84x = 488,789.25 × 193,050.02
  4. Step 4: Simplify right side
    354,194.84x = 94,360,774,488.29
  5. Step 5: Solve for x
    x = 94,360,774,488.29/354,194.84
  6. Step 6: Final answer
    x = 266,409.23

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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.