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Finding the Fourth Proportional to 267,071.50, 400,646.86 and 77,533.44

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Solution

The fourth proportional to 267,071.50, 400,646.86 and 77,533.44 is: 116,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,071.50 : 400,646.86 = 77,533.44 : x
  2. Step 2: Convert to fraction form
    267,071.50/400,646.86 = 77,533.44/x
  3. Step 3: Cross multiply
    267,071.50x = 400,646.86 × 77,533.44
  4. Step 4: Simplify right side
    267,071.50x = 31,063,529,274.97
  5. Step 5: Solve for x
    x = 31,063,529,274.97/267,071.50
  6. Step 6: Final answer
    x = 116,311.66

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1.5x scale

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.