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Finding the Fourth Proportional to 407,878.28, 611,829.50 and 194,668.67

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Solution

The fourth proportional to 407,878.28, 611,829.50 and 194,668.67 is: 292,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,878.28 : 611,829.50 = 194,668.67 : x
  2. Step 2: Convert to fraction form
    407,878.28/611,829.50 = 194,668.67/x
  3. Step 3: Cross multiply
    407,878.28x = 611,829.50 × 194,668.67
  4. Step 4: Simplify right side
    407,878.28x = 119,104,033,241.47
  5. Step 5: Solve for x
    x = 119,104,033,241.47/407,878.28
  6. Step 6: Final answer
    x = 292,008.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.