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Finding the Fourth Proportional to 354,330.27, 488,969.19 and 193,186.71

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Solution

The fourth proportional to 354,330.27, 488,969.19 and 193,186.71 is: 266,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,330.27 : 488,969.19 = 193,186.71 : x
  2. Step 2: Convert to fraction form
    354,330.27/488,969.19 = 193,186.71/x
  3. Step 3: Cross multiply
    354,330.27x = 488,969.19 × 193,186.71
  4. Step 4: Simplify right side
    354,330.27x = 94,462,349,107.46
  5. Step 5: Solve for x
    x = 94,462,349,107.46/354,330.27
  6. Step 6: Final answer
    x = 266,594.07

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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.