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Finding the Fourth Proportional to 491,357.42, 735,966.38 and 301,242.86

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Solution

The fourth proportional to 491,357.42, 735,966.38 and 301,242.86 is: 451,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,357.42 : 735,966.38 = 301,242.86 : x
  2. Step 2: Convert to fraction form
    491,357.42/735,966.38 = 301,242.86/x
  3. Step 3: Cross multiply
    491,357.42x = 735,966.38 × 301,242.86
  4. Step 4: Simplify right side
    491,357.42x = 221,704,617,175.05
  5. Step 5: Solve for x
    x = 221,704,617,175.05/491,357.42
  6. Step 6: Final answer
    x = 451,208.44

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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.