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Finding the Fourth Proportional to 301,707.64, 416,343.09 and 180,915.58

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Solution

The fourth proportional to 301,707.64, 416,343.09 and 180,915.58 is: 249,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,707.64 : 416,343.09 = 180,915.58 : x
  2. Step 2: Convert to fraction form
    301,707.64/416,343.09 = 180,915.58/x
  3. Step 3: Cross multiply
    301,707.64x = 416,343.09 × 180,915.58
  4. Step 4: Simplify right side
    301,707.64x = 75,322,951,606.34
  5. Step 5: Solve for x
    x = 75,322,951,606.34/301,707.64
  6. Step 6: Final answer
    x = 249,655.43

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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.