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Finding the Fourth Proportional to 301,915.28, 416,651.64 and 181,076.24

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Solution

The fourth proportional to 301,915.28, 416,651.64 and 181,076.24 is: 249,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,915.28 : 416,651.64 = 181,076.24 : x
  2. Step 2: Convert to fraction form
    301,915.28/416,651.64 = 181,076.24/x
  3. Step 3: Cross multiply
    301,915.28x = 416,651.64 × 181,076.24
  4. Step 4: Simplify right side
    301,915.28x = 75,445,712,361.03
  5. Step 5: Solve for x
    x = 75,445,712,361.03/301,915.28
  6. Step 6: Final answer
    x = 249,890.34

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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.