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Finding the Fourth Proportional to 301,538.58, 416,038.32 and 194,170.74

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Solution

The fourth proportional to 301,538.58, 416,038.32 and 194,170.74 is: 267,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,538.58 : 416,038.32 = 194,170.74 : x
  2. Step 2: Convert to fraction form
    301,538.58/416,038.32 = 194,170.74/x
  3. Step 3: Cross multiply
    301,538.58x = 416,038.32 × 194,170.74
  4. Step 4: Simplify right side
    301,538.58x = 80,782,468,462.76
  5. Step 5: Solve for x
    x = 80,782,468,462.76/301,538.58
  6. Step 6: Final answer
    x = 267,900.94

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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.