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Finding the Fourth Proportional to 354,209.66, 488,795.01 and 193,061.24

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Solution

The fourth proportional to 354,209.66, 488,795.01 and 193,061.24 is: 266,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,209.66 : 488,795.01 = 193,061.24 : x
  2. Step 2: Convert to fraction form
    354,209.66/488,795.01 = 193,061.24/x
  3. Step 3: Cross multiply
    354,209.66x = 488,795.01 × 193,061.24
  4. Step 4: Simplify right side
    354,209.66x = 94,367,370,736.41
  5. Step 5: Solve for x
    x = 94,367,370,736.41/354,209.66
  6. Step 6: Final answer
    x = 266,416.71

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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.