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Finding the Fourth Proportional to 456,649.71, 682,174.42 and 329,202.28

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Solution

The fourth proportional to 456,649.71, 682,174.42 and 329,202.28 is: 491,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,649.71 : 682,174.42 = 329,202.28 : x
  2. Step 2: Convert to fraction form
    456,649.71/682,174.42 = 329,202.28/x
  3. Step 3: Cross multiply
    456,649.71x = 682,174.42 × 329,202.28
  4. Step 4: Simplify right side
    456,649.71x = 224,573,374,421.68
  5. Step 5: Solve for x
    x = 224,573,374,421.68/456,649.71
  6. Step 6: Final answer
    x = 491,784.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.