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Finding the Fourth Proportional to 301,441.92, 415,904.63 and 194,074.11

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Solution

The fourth proportional to 301,441.92, 415,904.63 and 194,074.11 is: 267,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,441.92 : 415,904.63 = 194,074.11 : x
  2. Step 2: Convert to fraction form
    301,441.92/415,904.63 = 194,074.11/x
  3. Step 3: Cross multiply
    301,441.92x = 415,904.63 × 194,074.11
  4. Step 4: Simplify right side
    301,441.92x = 80,716,319,941.76
  5. Step 5: Solve for x
    x = 80,716,319,941.76/301,441.92
  6. Step 6: Final answer
    x = 267,767.40

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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.