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Finding the Fourth Proportional to 355,680.48, 490,820.64 and 194,504.16

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Solution

The fourth proportional to 355,680.48, 490,820.64 and 194,504.16 is: 268,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,680.48 : 490,820.64 = 194,504.16 : x
  2. Step 2: Convert to fraction form
    355,680.48/490,820.64 = 194,504.16/x
  3. Step 3: Cross multiply
    355,680.48x = 490,820.64 × 194,504.16
  4. Step 4: Simplify right side
    355,680.48x = 95,466,656,293.86
  5. Step 5: Solve for x
    x = 95,466,656,293.86/355,680.48
  6. Step 6: Final answer
    x = 268,405.67

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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.