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Finding the Fourth Proportional to 354,341.06, 488,992.86 and 193,198.78

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Solution

The fourth proportional to 354,341.06, 488,992.86 and 193,198.78 is: 266,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,341.06 : 488,992.86 = 193,198.78 : x
  2. Step 2: Convert to fraction form
    354,341.06/488,992.86 = 193,198.78/x
  3. Step 3: Cross multiply
    354,341.06x = 488,992.86 × 193,198.78
  4. Step 4: Simplify right side
    354,341.06x = 94,472,823,980.71
  5. Step 5: Solve for x
    x = 94,472,823,980.71/354,341.06
  6. Step 6: Final answer
    x = 266,615.51

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1.5x scale

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.