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Finding the Fourth Proportional to 456,334.48, 683,931.48 and 219,613.60

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Solution

The fourth proportional to 456,334.48, 683,931.48 and 219,613.60 is: 329,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,334.48 : 683,931.48 = 219,613.60 : x
  2. Step 2: Convert to fraction form
    456,334.48/683,931.48 = 219,613.60/x
  3. Step 3: Cross multiply
    456,334.48x = 683,931.48 × 219,613.60
  4. Step 4: Simplify right side
    456,334.48x = 150,200,654,476.13
  5. Step 5: Solve for x
    x = 150,200,654,476.13/456,334.48
  6. Step 6: Final answer
    x = 329,145.97

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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.