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Finding the Fourth Proportional to 354,162.96, 488,730.42 and 193,014.54

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Solution

The fourth proportional to 354,162.96, 488,730.42 and 193,014.54 is: 266,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,162.96 : 488,730.42 = 193,014.54 : x
  2. Step 2: Convert to fraction form
    354,162.96/488,730.42 = 193,014.54/x
  3. Step 3: Cross multiply
    354,162.96x = 488,730.42 × 193,014.54
  4. Step 4: Simplify right side
    354,162.96x = 94,332,077,200.31
  5. Step 5: Solve for x
    x = 94,332,077,200.31/354,162.96
  6. Step 6: Final answer
    x = 266,352.18

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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.