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Finding the Fourth Proportional to 301,878.60, 452,429.10 and 231,408.60

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Solution

The fourth proportional to 301,878.60, 452,429.10 and 231,408.60 is: 346,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,878.60 : 452,429.10 = 231,408.60 : x
  2. Step 2: Convert to fraction form
    301,878.60/452,429.10 = 231,408.60/x
  3. Step 3: Cross multiply
    301,878.60x = 452,429.10 × 231,408.60
  4. Step 4: Simplify right side
    301,878.60x = 104,695,984,630.26
  5. Step 5: Solve for x
    x = 104,695,984,630.26/301,878.60
  6. Step 6: Final answer
    x = 346,814.86

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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.