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Finding the Fourth Proportional to 340,408.80, 510,613.20 and 116,022.60

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Solution

The fourth proportional to 340,408.80, 510,613.20 and 116,022.60 is: 174,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,408.80 : 510,613.20 = 116,022.60 : x
  2. Step 2: Convert to fraction form
    340,408.80/510,613.20 = 116,022.60/x
  3. Step 3: Cross multiply
    340,408.80x = 510,613.20 × 116,022.60
  4. Step 4: Simplify right side
    340,408.80x = 59,242,671,058.32
  5. Step 5: Solve for x
    x = 59,242,671,058.32/340,408.80
  6. Step 6: Final answer
    x = 174,033.90

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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.